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Finding the Fourth Proportional to 924.57, 1,387.26 and 491.76

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Solution

The fourth proportional to 924.57, 1,387.26 and 491.76 is: 737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.57 : 1,387.26 = 491.76 : x
  2. Step 2: Convert to fraction form
    924.57/1,387.26 = 491.76/x
  3. Step 3: Cross multiply
    924.57x = 1,387.26 × 491.76
  4. Step 4: Simplify right side
    924.57x = 682,198.98
  5. Step 5: Solve for x
    x = 682,198.98/924.57
  6. Step 6: Final answer
    x = 737.86

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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.