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Finding the Fourth Proportional to 1,631.93, 2,449.29 and 658.73

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Solution

The fourth proportional to 1,631.93, 2,449.29 and 658.73 is: 988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.93 : 2,449.29 = 658.73 : x
  2. Step 2: Convert to fraction form
    1,631.93/2,449.29 = 658.73/x
  3. Step 3: Cross multiply
    1,631.93x = 2,449.29 × 658.73
  4. Step 4: Simplify right side
    1,631.93x = 1,613,420.80
  5. Step 5: Solve for x
    x = 1,613,420.80/1,631.93
  6. Step 6: Final answer
    x = 988.66

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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.