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Finding the Fourth Proportional to 517.38, 712.95 and 386.16

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Solution

The fourth proportional to 517.38, 712.95 and 386.16 is: 532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.38 : 712.95 = 386.16 : x
  2. Step 2: Convert to fraction form
    517.38/712.95 = 386.16/x
  3. Step 3: Cross multiply
    517.38x = 712.95 × 386.16
  4. Step 4: Simplify right side
    517.38x = 275,312.77
  5. Step 5: Solve for x
    x = 275,312.77/517.38
  6. Step 6: Final answer
    x = 532.13

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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.