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Finding the Fourth Proportional to 567.27, 783.14 and 392.85

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Solution

The fourth proportional to 567.27, 783.14 and 392.85 is: 542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.27 : 783.14 = 392.85 : x
  2. Step 2: Convert to fraction form
    567.27/783.14 = 392.85/x
  3. Step 3: Cross multiply
    567.27x = 783.14 × 392.85
  4. Step 4: Simplify right side
    567.27x = 307,654.58
  5. Step 5: Solve for x
    x = 307,654.58/567.27
  6. Step 6: Final answer
    x = 542.34

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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.