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Finding the Fourth Proportional to 568.48, 781.89 and 468.19

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Solution

The fourth proportional to 568.48, 781.89 and 468.19 is: 643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    568.48 : 781.89 = 468.19 : x
  2. Step 2: Convert to fraction form
    568.48/781.89 = 468.19/x
  3. Step 3: Cross multiply
    568.48x = 781.89 × 468.19
  4. Step 4: Simplify right side
    568.48x = 366,073.08
  5. Step 5: Solve for x
    x = 366,073.08/568.48
  6. Step 6: Final answer
    x = 643.95

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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.