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Finding the Fourth Proportional to 458.60, 691.49 and 420.33

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Solution

The fourth proportional to 458.60, 691.49 and 420.33 is: 633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 691.49 = 420.33 : x
  2. Step 2: Convert to fraction form
    458.60/691.49 = 420.33/x
  3. Step 3: Cross multiply
    458.60x = 691.49 × 420.33
  4. Step 4: Simplify right side
    458.60x = 290,650.53
  5. Step 5: Solve for x
    x = 290,650.53/458.60
  6. Step 6: Final answer
    x = 633.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.