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Finding the Fourth Proportional to 614.97, 924.75 and 491.85

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Solution

The fourth proportional to 614.97, 924.75 and 491.85 is: 739.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.97 : 924.75 = 491.85 : x
  2. Step 2: Convert to fraction form
    614.97/924.75 = 491.85/x
  3. Step 3: Cross multiply
    614.97x = 924.75 × 491.85
  4. Step 4: Simplify right side
    614.97x = 454,838.29
  5. Step 5: Solve for x
    x = 454,838.29/614.97
  6. Step 6: Final answer
    x = 739.61

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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.