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Finding the Fourth Proportional to 931.32, 1,284.24 and 616.92

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Solution

The fourth proportional to 931.32, 1,284.24 and 616.92 is: 850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.32 : 1,284.24 = 616.92 : x
  2. Step 2: Convert to fraction form
    931.32/1,284.24 = 616.92/x
  3. Step 3: Cross multiply
    931.32x = 1,284.24 × 616.92
  4. Step 4: Simplify right side
    931.32x = 792,273.34
  5. Step 5: Solve for x
    x = 792,273.34/931.32
  6. Step 6: Final answer
    x = 850.70

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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.