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Finding the Fourth Proportional to 1,158.73, 1,737.48 and 929.09

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Solution

The fourth proportional to 1,158.73, 1,737.48 and 929.09 is: 1,393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.73 : 1,737.48 = 929.09 : x
  2. Step 2: Convert to fraction form
    1,158.73/1,737.48 = 929.09/x
  3. Step 3: Cross multiply
    1,158.73x = 1,737.48 × 929.09
  4. Step 4: Simplify right side
    1,158.73x = 1,614,275.29
  5. Step 5: Solve for x
    x = 1,614,275.29/1,158.73
  6. Step 6: Final answer
    x = 1,393.14

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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.