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Finding the Fourth Proportional to 924.91, 1,385.76 and 649.71

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Solution

The fourth proportional to 924.91, 1,385.76 and 649.71 is: 973.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.91 : 1,385.76 = 649.71 : x
  2. Step 2: Convert to fraction form
    924.91/1,385.76 = 649.71/x
  3. Step 3: Cross multiply
    924.91x = 1,385.76 × 649.71
  4. Step 4: Simplify right side
    924.91x = 900,344.57
  5. Step 5: Solve for x
    x = 900,344.57/924.91
  6. Step 6: Final answer
    x = 973.44

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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.