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Finding the Fourth Proportional to 1,158.31, 1,736.25 and 849.70

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Solution

The fourth proportional to 1,158.31, 1,736.25 and 849.70 is: 1,273.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.31 : 1,736.25 = 849.70 : x
  2. Step 2: Convert to fraction form
    1,158.31/1,736.25 = 849.70/x
  3. Step 3: Cross multiply
    1,158.31x = 1,736.25 × 849.70
  4. Step 4: Simplify right side
    1,158.31x = 1,475,291.63
  5. Step 5: Solve for x
    x = 1,475,291.63/1,158.31
  6. Step 6: Final answer
    x = 1,273.66

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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.