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Finding the Fourth Proportional to 574.29, 863.34 and 472.33

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Solution

The fourth proportional to 574.29, 863.34 and 472.33 is: 710.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.29 : 863.34 = 472.33 : x
  2. Step 2: Convert to fraction form
    574.29/863.34 = 472.33/x
  3. Step 3: Cross multiply
    574.29x = 863.34 × 472.33
  4. Step 4: Simplify right side
    574.29x = 407,781.38
  5. Step 5: Solve for x
    x = 407,781.38/574.29
  6. Step 6: Final answer
    x = 710.06

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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.