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Finding the Fourth Proportional to 567.48, 782.91 and 392.97

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Solution

The fourth proportional to 567.48, 782.91 and 392.97 is: 542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.48 : 782.91 = 392.97 : x
  2. Step 2: Convert to fraction form
    567.48/782.91 = 392.97/x
  3. Step 3: Cross multiply
    567.48x = 782.91 × 392.97
  4. Step 4: Simplify right side
    567.48x = 307,660.14
  5. Step 5: Solve for x
    x = 307,660.14/567.48
  6. Step 6: Final answer
    x = 542.15

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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.