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Finding the Fourth Proportional to 932.48, 1,279.78 and 844.64

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Solution

The fourth proportional to 932.48, 1,279.78 and 844.64 is: 1,159.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.48 : 1,279.78 = 844.64 : x
  2. Step 2: Convert to fraction form
    932.48/1,279.78 = 844.64/x
  3. Step 3: Cross multiply
    932.48x = 1,279.78 × 844.64
  4. Step 4: Simplify right side
    932.48x = 1,080,953.38
  5. Step 5: Solve for x
    x = 1,080,953.38/932.48
  6. Step 6: Final answer
    x = 1,159.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.