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Finding the Fourth Proportional to 614.54, 921.18 and 459.38

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Solution

The fourth proportional to 614.54, 921.18 and 459.38 is: 688.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.54 : 921.18 = 459.38 : x
  2. Step 2: Convert to fraction form
    614.54/921.18 = 459.38/x
  3. Step 3: Cross multiply
    614.54x = 921.18 × 459.38
  4. Step 4: Simplify right side
    614.54x = 423,171.67
  5. Step 5: Solve for x
    x = 423,171.67/614.54
  6. Step 6: Final answer
    x = 688.60

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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.