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Finding the Fourth Proportional to 926.92, 1,279.80 and 632.08

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Solution

The fourth proportional to 926.92, 1,279.80 and 632.08 is: 872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.92 : 1,279.80 = 632.08 : x
  2. Step 2: Convert to fraction form
    926.92/1,279.80 = 632.08/x
  3. Step 3: Cross multiply
    926.92x = 1,279.80 × 632.08
  4. Step 4: Simplify right side
    926.92x = 808,935.98
  5. Step 5: Solve for x
    x = 808,935.98/926.92
  6. Step 6: Final answer
    x = 872.71

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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.