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Finding the Fourth Proportional to 522.32, 781.66 and 324.57

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Solution

The fourth proportional to 522.32, 781.66 and 324.57 is: 485.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.32 : 781.66 = 324.57 : x
  2. Step 2: Convert to fraction form
    522.32/781.66 = 324.57/x
  3. Step 3: Cross multiply
    522.32x = 781.66 × 324.57
  4. Step 4: Simplify right side
    522.32x = 253,704.90
  5. Step 5: Solve for x
    x = 253,704.90/522.32
  6. Step 6: Final answer
    x = 485.73

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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.