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Finding the Fourth Proportional to 568.72, 781.43 and 452.08

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Solution

The fourth proportional to 568.72, 781.43 and 452.08 is: 621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.72 : 781.43 = 452.08 : x
  2. Step 2: Convert to fraction form
    568.72/781.43 = 452.08/x
  3. Step 3: Cross multiply
    568.72x = 781.43 × 452.08
  4. Step 4: Simplify right side
    568.72x = 353,262.71
  5. Step 5: Solve for x
    x = 353,262.71/568.72
  6. Step 6: Final answer
    x = 621.16

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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.