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Finding the Fourth Proportional to 520.32, 781.08 and 365.61

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Solution

The fourth proportional to 520.32, 781.08 and 365.61 is: 548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.32 : 781.08 = 365.61 : x
  2. Step 2: Convert to fraction form
    520.32/781.08 = 365.61/x
  3. Step 3: Cross multiply
    520.32x = 781.08 × 365.61
  4. Step 4: Simplify right side
    520.32x = 285,566.75
  5. Step 5: Solve for x
    x = 285,566.75/520.32
  6. Step 6: Final answer
    x = 548.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.