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Finding the Fourth Proportional to 609.52, 914.34 and 457.38

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Solution

The fourth proportional to 609.52, 914.34 and 457.38 is: 686.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.52 : 914.34 = 457.38 : x
  2. Step 2: Convert to fraction form
    609.52/914.34 = 457.38/x
  3. Step 3: Cross multiply
    609.52x = 914.34 × 457.38
  4. Step 4: Simplify right side
    609.52x = 418,200.83
  5. Step 5: Solve for x
    x = 418,200.83/609.52
  6. Step 6: Final answer
    x = 686.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.