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Finding the Fourth Proportional to 853.46, 1,281.27 and 726.02

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Solution

The fourth proportional to 853.46, 1,281.27 and 726.02 is: 1,089.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.46 : 1,281.27 = 726.02 : x
  2. Step 2: Convert to fraction form
    853.46/1,281.27 = 726.02/x
  3. Step 3: Cross multiply
    853.46x = 1,281.27 × 726.02
  4. Step 4: Simplify right side
    853.46x = 930,227.65
  5. Step 5: Solve for x
    x = 930,227.65/853.46
  6. Step 6: Final answer
    x = 1,089.95

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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.