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Finding the Fourth Proportional to 931.38, 1,285.30 and 511.75

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Solution

The fourth proportional to 931.38, 1,285.30 and 511.75 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.38 : 1,285.30 = 511.75 : x
  2. Step 2: Convert to fraction form
    931.38/1,285.30 = 511.75/x
  3. Step 3: Cross multiply
    931.38x = 1,285.30 × 511.75
  4. Step 4: Simplify right side
    931.38x = 657,752.28
  5. Step 5: Solve for x
    x = 657,752.28/931.38
  6. Step 6: Final answer
    x = 706.21

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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.