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Finding the Fourth Proportional to 614.98, 921.75 and 431.38

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Solution

The fourth proportional to 614.98, 921.75 and 431.38 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.98 : 921.75 = 431.38 : x
  2. Step 2: Convert to fraction form
    614.98/921.75 = 431.38/x
  3. Step 3: Cross multiply
    614.98x = 921.75 × 431.38
  4. Step 4: Simplify right side
    614.98x = 397,624.52
  5. Step 5: Solve for x
    x = 397,624.52/614.98
  6. Step 6: Final answer
    x = 646.56

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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.