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Finding the Fourth Proportional to 930.92, 1,284.08 and 616.20

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Solution

The fourth proportional to 930.92, 1,284.08 and 616.20 is: 849.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.92 : 1,284.08 = 616.20 : x
  2. Step 2: Convert to fraction form
    930.92/1,284.08 = 616.20/x
  3. Step 3: Cross multiply
    930.92x = 1,284.08 × 616.20
  4. Step 4: Simplify right side
    930.92x = 791,250.10
  5. Step 5: Solve for x
    x = 791,250.10/930.92
  6. Step 6: Final answer
    x = 849.97

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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.