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Finding the Fourth Proportional to 1,121.42, 1,547.60 and 624.12

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Solution

The fourth proportional to 1,121.42, 1,547.60 and 624.12 is: 861.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.42 : 1,547.60 = 624.12 : x
  2. Step 2: Convert to fraction form
    1,121.42/1,547.60 = 624.12/x
  3. Step 3: Cross multiply
    1,121.42x = 1,547.60 × 624.12
  4. Step 4: Simplify right side
    1,121.42x = 965,888.11
  5. Step 5: Solve for x
    x = 965,888.11/1,121.42
  6. Step 6: Final answer
    x = 861.31

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Double scale
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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.