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Finding the Fourth Proportional to 1,081.97, 1,613.06 and 1,000.70

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Solution

The fourth proportional to 1,081.97, 1,613.06 and 1,000.70 is: 1,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.97 : 1,613.06 = 1,000.70 : x
  2. Step 2: Convert to fraction form
    1,081.97/1,613.06 = 1,000.70/x
  3. Step 3: Cross multiply
    1,081.97x = 1,613.06 × 1,000.70
  4. Step 4: Simplify right side
    1,081.97x = 1,614,176.07
  5. Step 5: Solve for x
    x = 1,614,176.07/1,081.97
  6. Step 6: Final answer
    x = 1,491.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.