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Finding the Fourth Proportional to 1,279.44, 1,920.72 and 732.06

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Solution

The fourth proportional to 1,279.44, 1,920.72 and 732.06 is: 1,098.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.44 : 1,920.72 = 732.06 : x
  2. Step 2: Convert to fraction form
    1,279.44/1,920.72 = 732.06/x
  3. Step 3: Cross multiply
    1,279.44x = 1,920.72 × 732.06
  4. Step 4: Simplify right side
    1,279.44x = 1,406,082.28
  5. Step 5: Solve for x
    x = 1,406,082.28/1,279.44
  6. Step 6: Final answer
    x = 1,098.98

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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.