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Finding the Fourth Proportional to 1,581.93, 2,373.08 and 658.11

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Solution

The fourth proportional to 1,581.93, 2,373.08 and 658.11 is: 987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.93 : 2,373.08 = 658.11 : x
  2. Step 2: Convert to fraction form
    1,581.93/2,373.08 = 658.11/x
  3. Step 3: Cross multiply
    1,581.93x = 2,373.08 × 658.11
  4. Step 4: Simplify right side
    1,581.93x = 1,561,756.43
  5. Step 5: Solve for x
    x = 1,561,756.43/1,581.93
  6. Step 6: Final answer
    x = 987.25

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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.