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Finding the Fourth Proportional to 1,121.51, 1,547.71 and 624.19

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Solution

The fourth proportional to 1,121.51, 1,547.71 and 624.19 is: 861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.51 : 1,547.71 = 624.19 : x
  2. Step 2: Convert to fraction form
    1,121.51/1,547.71 = 624.19/x
  3. Step 3: Cross multiply
    1,121.51x = 1,547.71 × 624.19
  4. Step 4: Simplify right side
    1,121.51x = 966,062.58
  5. Step 5: Solve for x
    x = 966,062.58/1,121.51
  6. Step 6: Final answer
    x = 861.39

Related Problems

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Half scale
Find fourth proportional to 2,243.03, 3,095.42 and 1,248.38
Double scale
Find fourth proportional to 1,122.51, 1,549.09 and 625.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.