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Finding the Fourth Proportional to 572.69, 862.16 and 391.23

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Solution

The fourth proportional to 572.69, 862.16 and 391.23 is: 588.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.69 : 862.16 = 391.23 : x
  2. Step 2: Convert to fraction form
    572.69/862.16 = 391.23/x
  3. Step 3: Cross multiply
    572.69x = 862.16 × 391.23
  4. Step 4: Simplify right side
    572.69x = 337,302.86
  5. Step 5: Solve for x
    x = 337,302.86/572.69
  6. Step 6: Final answer
    x = 588.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.