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Finding the Fourth Proportional to 565.78, 781.23 and 454.90

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Solution

The fourth proportional to 565.78, 781.23 and 454.90 is: 628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 781.23 = 454.90 : x
  2. Step 2: Convert to fraction form
    565.78/781.23 = 454.90/x
  3. Step 3: Cross multiply
    565.78x = 781.23 × 454.90
  4. Step 4: Simplify right side
    565.78x = 355,381.53
  5. Step 5: Solve for x
    x = 355,381.53/565.78
  6. Step 6: Final answer
    x = 628.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.