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Finding the Fourth Proportional to 726.28, 1,001.74 and 655.88

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Solution

The fourth proportional to 726.28, 1,001.74 and 655.88 is: 904.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.28 : 1,001.74 = 655.88 : x
  2. Step 2: Convert to fraction form
    726.28/1,001.74 = 655.88/x
  3. Step 3: Cross multiply
    726.28x = 1,001.74 × 655.88
  4. Step 4: Simplify right side
    726.28x = 657,021.23
  5. Step 5: Solve for x
    x = 657,021.23/726.28
  6. Step 6: Final answer
    x = 904.64

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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.