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Finding the Fourth Proportional to 572.38, 857.75 and 456.29

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Solution

The fourth proportional to 572.38, 857.75 and 456.29 is: 683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.38 : 857.75 = 456.29 : x
  2. Step 2: Convert to fraction form
    572.38/857.75 = 456.29/x
  3. Step 3: Cross multiply
    572.38x = 857.75 × 456.29
  4. Step 4: Simplify right side
    572.38x = 391,380.47
  5. Step 5: Solve for x
    x = 391,380.47/572.38
  6. Step 6: Final answer
    x = 683.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.