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Finding the Fourth Proportional to 520.38, 718.25 and 299.46

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Solution

The fourth proportional to 520.38, 718.25 and 299.46 is: 413.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.38 : 718.25 = 299.46 : x
  2. Step 2: Convert to fraction form
    520.38/718.25 = 299.46/x
  3. Step 3: Cross multiply
    520.38x = 718.25 × 299.46
  4. Step 4: Simplify right side
    520.38x = 215,084.86
  5. Step 5: Solve for x
    x = 215,084.86/520.38
  6. Step 6: Final answer
    x = 413.32

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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.