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Finding the Fourth Proportional to 522.30, 781.29 and 474.78

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Solution

The fourth proportional to 522.30, 781.29 and 474.78 is: 710.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.30 : 781.29 = 474.78 : x
  2. Step 2: Convert to fraction form
    522.30/781.29 = 474.78/x
  3. Step 3: Cross multiply
    522.30x = 781.29 × 474.78
  4. Step 4: Simplify right side
    522.30x = 370,940.87
  5. Step 5: Solve for x
    x = 370,940.87/522.30
  6. Step 6: Final answer
    x = 710.21

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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.