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Finding the Fourth Proportional to 458.11, 687.86 and 442.17

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Solution

The fourth proportional to 458.11, 687.86 and 442.17 is: 663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.11 : 687.86 = 442.17 : x
  2. Step 2: Convert to fraction form
    458.11/687.86 = 442.17/x
  3. Step 3: Cross multiply
    458.11x = 687.86 × 442.17
  4. Step 4: Simplify right side
    458.11x = 304,148.57
  5. Step 5: Solve for x
    x = 304,148.57/458.11
  6. Step 6: Final answer
    x = 663.91

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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.