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Finding the Fourth Proportional to 458.73, 631.85 and 456.30

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Solution

The fourth proportional to 458.73, 631.85 and 456.30 is: 628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.73 : 631.85 = 456.30 : x
  2. Step 2: Convert to fraction form
    458.73/631.85 = 456.30/x
  3. Step 3: Cross multiply
    458.73x = 631.85 × 456.30
  4. Step 4: Simplify right side
    458.73x = 288,310.87
  5. Step 5: Solve for x
    x = 288,310.87/458.73
  6. Step 6: Final answer
    x = 628.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.