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Finding the Fourth Proportional to 517.16, 712.32 and 391.61

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Solution

The fourth proportional to 517.16, 712.32 and 391.61 is: 539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 712.32 = 391.61 : x
  2. Step 2: Convert to fraction form
    517.16/712.32 = 391.61/x
  3. Step 3: Cross multiply
    517.16x = 712.32 × 391.61
  4. Step 4: Simplify right side
    517.16x = 278,951.64
  5. Step 5: Solve for x
    x = 278,951.64/517.16
  6. Step 6: Final answer
    x = 539.39

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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.