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Finding the Fourth Proportional to 726.62, 1,002.08 and 661

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Solution

The fourth proportional to 726.62, 1,002.08 and 661 is: 911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.62 : 1,002.08 = 661 : x
  2. Step 2: Convert to fraction form
    726.62/1,002.08 = 661/x
  3. Step 3: Cross multiply
    726.62x = 1,002.08 × 661
  4. Step 4: Simplify right side
    726.62x = 662,374.88
  5. Step 5: Solve for x
    x = 662,374.88/726.62
  6. Step 6: Final answer
    x = 911.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.