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Finding the Fourth Proportional to 1,149.38, 1,721.02 and 916.72

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Solution

The fourth proportional to 1,149.38, 1,721.02 and 916.72 is: 1,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.38 : 1,721.02 = 916.72 : x
  2. Step 2: Convert to fraction form
    1,149.38/1,721.02 = 916.72/x
  3. Step 3: Cross multiply
    1,149.38x = 1,721.02 × 916.72
  4. Step 4: Simplify right side
    1,149.38x = 1,577,693.45
  5. Step 5: Solve for x
    x = 1,577,693.45/1,149.38
  6. Step 6: Final answer
    x = 1,372.65

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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.