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Finding the Fourth Proportional to 614.25, 922.05 and 458.19

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Solution

The fourth proportional to 614.25, 922.05 and 458.19 is: 687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.25 : 922.05 = 458.19 : x
  2. Step 2: Convert to fraction form
    614.25/922.05 = 458.19/x
  3. Step 3: Cross multiply
    614.25x = 922.05 × 458.19
  4. Step 4: Simplify right side
    614.25x = 422,474.09
  5. Step 5: Solve for x
    x = 422,474.09/614.25
  6. Step 6: Final answer
    x = 687.79

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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.