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Finding the Fourth Proportional to 870.72, 1,306.08 and 726.18

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Solution

The fourth proportional to 870.72, 1,306.08 and 726.18 is: 1,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.72 : 1,306.08 = 726.18 : x
  2. Step 2: Convert to fraction form
    870.72/1,306.08 = 726.18/x
  3. Step 3: Cross multiply
    870.72x = 1,306.08 × 726.18
  4. Step 4: Simplify right side
    870.72x = 948,449.17
  5. Step 5: Solve for x
    x = 948,449.17/870.72
  6. Step 6: Final answer
    x = 1,089.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.