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Finding the Fourth Proportional to 1,158.81, 1,737.91 and 974.89

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Solution

The fourth proportional to 1,158.81, 1,737.91 and 974.89 is: 1,462.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.81 : 1,737.91 = 974.89 : x
  2. Step 2: Convert to fraction form
    1,158.81/1,737.91 = 974.89/x
  3. Step 3: Cross multiply
    1,158.81x = 1,737.91 × 974.89
  4. Step 4: Simplify right side
    1,158.81x = 1,694,259.21
  5. Step 5: Solve for x
    x = 1,694,259.21/1,158.81
  6. Step 6: Final answer
    x = 1,462.07

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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.