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Finding the Fourth Proportional to 1,239.92, 1,714.20 and 928.88

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Solution

The fourth proportional to 1,239.92, 1,714.20 and 928.88 is: 1,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.92 : 1,714.20 = 928.88 : x
  2. Step 2: Convert to fraction form
    1,239.92/1,714.20 = 928.88/x
  3. Step 3: Cross multiply
    1,239.92x = 1,714.20 × 928.88
  4. Step 4: Simplify right side
    1,239.92x = 1,592,286.10
  5. Step 5: Solve for x
    x = 1,592,286.10/1,239.92
  6. Step 6: Final answer
    x = 1,284.18

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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.