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Finding the Fourth Proportional to 1,337.67, 1,846.03 and 748.21

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Solution

The fourth proportional to 1,337.67, 1,846.03 and 748.21 is: 1,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337.67 : 1,846.03 = 748.21 : x
  2. Step 2: Convert to fraction form
    1,337.67/1,846.03 = 748.21/x
  3. Step 3: Cross multiply
    1,337.67x = 1,846.03 × 748.21
  4. Step 4: Simplify right side
    1,337.67x = 1,381,218.11
  5. Step 5: Solve for x
    x = 1,381,218.11/1,337.67
  6. Step 6: Final answer
    x = 1,032.56

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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.