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Finding the Fourth Proportional to 728.26, 1,006.14 and 618.88

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Solution

The fourth proportional to 728.26, 1,006.14 and 618.88 is: 855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.26 : 1,006.14 = 618.88 : x
  2. Step 2: Convert to fraction form
    728.26/1,006.14 = 618.88/x
  3. Step 3: Cross multiply
    728.26x = 1,006.14 × 618.88
  4. Step 4: Simplify right side
    728.26x = 622,679.92
  5. Step 5: Solve for x
    x = 622,679.92/728.26
  6. Step 6: Final answer
    x = 855.02

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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.