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Finding the Fourth Proportional to 458.74, 686.81 and 415.49

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Solution

The fourth proportional to 458.74, 686.81 and 415.49 is: 622.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.74 : 686.81 = 415.49 : x
  2. Step 2: Convert to fraction form
    458.74/686.81 = 415.49/x
  3. Step 3: Cross multiply
    458.74x = 686.81 × 415.49
  4. Step 4: Simplify right side
    458.74x = 285,360.61
  5. Step 5: Solve for x
    x = 285,360.61/458.74
  6. Step 6: Final answer
    x = 622.06

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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.