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Finding the Fourth Proportional to 1,121.47, 1,547.71 and 624.12

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Solution

The fourth proportional to 1,121.47, 1,547.71 and 624.12 is: 861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.47 : 1,547.71 = 624.12 : x
  2. Step 2: Convert to fraction form
    1,121.47/1,547.71 = 624.12/x
  3. Step 3: Cross multiply
    1,121.47x = 1,547.71 × 624.12
  4. Step 4: Simplify right side
    1,121.47x = 965,956.77
  5. Step 5: Solve for x
    x = 965,956.77/1,121.47
  6. Step 6: Final answer
    x = 861.33

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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.