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Finding the Fourth Proportional to 728.64, 1,001.28 and 650.88

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Solution

The fourth proportional to 728.64, 1,001.28 and 650.88 is: 894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.64 : 1,001.28 = 650.88 : x
  2. Step 2: Convert to fraction form
    728.64/1,001.28 = 650.88/x
  3. Step 3: Cross multiply
    728.64x = 1,001.28 × 650.88
  4. Step 4: Simplify right side
    728.64x = 651,713.13
  5. Step 5: Solve for x
    x = 651,713.13/728.64
  6. Step 6: Final answer
    x = 894.42

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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.