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Finding the Fourth Proportional to 567.27, 781.84 and 488.39

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Solution

The fourth proportional to 567.27, 781.84 and 488.39 is: 673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.27 : 781.84 = 488.39 : x
  2. Step 2: Convert to fraction form
    567.27/781.84 = 488.39/x
  3. Step 3: Cross multiply
    567.27x = 781.84 × 488.39
  4. Step 4: Simplify right side
    567.27x = 381,842.84
  5. Step 5: Solve for x
    x = 381,842.84/567.27
  6. Step 6: Final answer
    x = 673.12

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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.