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Finding the Fourth Proportional to 517.80, 715.32 and 478.92

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Solution

The fourth proportional to 517.80, 715.32 and 478.92 is: 661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.80 : 715.32 = 478.92 : x
  2. Step 2: Convert to fraction form
    517.80/715.32 = 478.92/x
  3. Step 3: Cross multiply
    517.80x = 715.32 × 478.92
  4. Step 4: Simplify right side
    517.80x = 342,581.05
  5. Step 5: Solve for x
    x = 342,581.05/517.80
  6. Step 6: Final answer
    x = 661.61

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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.