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Finding the Fourth Proportional to 1,131, 1,560.52 and 658.79

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Solution

The fourth proportional to 1,131, 1,560.52 and 658.79 is: 908.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131 : 1,560.52 = 658.79 : x
  2. Step 2: Convert to fraction form
    1,131/1,560.52 = 658.79/x
  3. Step 3: Cross multiply
    1,131x = 1,560.52 × 658.79
  4. Step 4: Simplify right side
    1,131x = 1,028,054.97
  5. Step 5: Solve for x
    x = 1,028,054.97/1,131
  6. Step 6: Final answer
    x = 908.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.