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Finding the Fourth Proportional to 1,218.14, 1,681.03 and 658.61

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Solution

The fourth proportional to 1,218.14, 1,681.03 and 658.61 is: 908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.14 : 1,681.03 = 658.61 : x
  2. Step 2: Convert to fraction form
    1,218.14/1,681.03 = 658.61/x
  3. Step 3: Cross multiply
    1,218.14x = 1,681.03 × 658.61
  4. Step 4: Simplify right side
    1,218.14x = 1,107,131.47
  5. Step 5: Solve for x
    x = 1,107,131.47/1,218.14
  6. Step 6: Final answer
    x = 908.87

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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.