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Finding the Fourth Proportional to 924.71, 1,388.07 and 514.85

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Solution

The fourth proportional to 924.71, 1,388.07 and 514.85 is: 772.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.71 : 1,388.07 = 514.85 : x
  2. Step 2: Convert to fraction form
    924.71/1,388.07 = 514.85/x
  3. Step 3: Cross multiply
    924.71x = 1,388.07 × 514.85
  4. Step 4: Simplify right side
    924.71x = 714,640.90
  5. Step 5: Solve for x
    x = 714,640.90/924.71
  6. Step 6: Final answer
    x = 772.83

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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.