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Finding the Fourth Proportional to 924.92, 1,276.83 and 631.71

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Solution

The fourth proportional to 924.92, 1,276.83 and 631.71 is: 872.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.92 : 1,276.83 = 631.71 : x
  2. Step 2: Convert to fraction form
    924.92/1,276.83 = 631.71/x
  3. Step 3: Cross multiply
    924.92x = 1,276.83 × 631.71
  4. Step 4: Simplify right side
    924.92x = 806,586.28
  5. Step 5: Solve for x
    x = 806,586.28/924.92
  6. Step 6: Final answer
    x = 872.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.