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Finding the Fourth Proportional to 568.78, 781.51 and 452.14

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Solution

The fourth proportional to 568.78, 781.51 and 452.14 is: 621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.78 : 781.51 = 452.14 : x
  2. Step 2: Convert to fraction form
    568.78/781.51 = 452.14/x
  3. Step 3: Cross multiply
    568.78x = 781.51 × 452.14
  4. Step 4: Simplify right side
    568.78x = 353,349.98
  5. Step 5: Solve for x
    x = 353,349.98/568.78
  6. Step 6: Final answer
    x = 621.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.