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Finding the Fourth Proportional to 924.47, 1,387.91 and 650.69

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Solution

The fourth proportional to 924.47, 1,387.91 and 650.69 is: 976.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.47 : 1,387.91 = 650.69 : x
  2. Step 2: Convert to fraction form
    924.47/1,387.91 = 650.69/x
  3. Step 3: Cross multiply
    924.47x = 1,387.91 × 650.69
  4. Step 4: Simplify right side
    924.47x = 903,093.85
  5. Step 5: Solve for x
    x = 903,093.85/924.47
  6. Step 6: Final answer
    x = 976.88

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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.