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Finding the Fourth Proportional to 574.29, 860.52 and 458.12

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Solution

The fourth proportional to 574.29, 860.52 and 458.12 is: 686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.29 : 860.52 = 458.12 : x
  2. Step 2: Convert to fraction form
    574.29/860.52 = 458.12/x
  3. Step 3: Cross multiply
    574.29x = 860.52 × 458.12
  4. Step 4: Simplify right side
    574.29x = 394,225.29
  5. Step 5: Solve for x
    x = 394,225.29/574.29
  6. Step 6: Final answer
    x = 686.46

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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.