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Finding the Fourth Proportional to 1,306.67, 1,803.23 and 747.11

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Solution

The fourth proportional to 1,306.67, 1,803.23 and 747.11 is: 1,031.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.67 : 1,803.23 = 747.11 : x
  2. Step 2: Convert to fraction form
    1,306.67/1,803.23 = 747.11/x
  3. Step 3: Cross multiply
    1,306.67x = 1,803.23 × 747.11
  4. Step 4: Simplify right side
    1,306.67x = 1,347,211.17
  5. Step 5: Solve for x
    x = 1,347,211.17/1,306.67
  6. Step 6: Final answer
    x = 1,031.03

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Why These Related Problems?

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