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Finding the Fourth Proportional to 2,218.13, 3,327.84 and 658.13

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Solution

The fourth proportional to 2,218.13, 3,327.84 and 658.13 is: 987.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.13 : 3,327.84 = 658.13 : x
  2. Step 2: Convert to fraction form
    2,218.13/3,327.84 = 658.13/x
  3. Step 3: Cross multiply
    2,218.13x = 3,327.84 × 658.13
  4. Step 4: Simplify right side
    2,218.13x = 2,190,159.66
  5. Step 5: Solve for x
    x = 2,190,159.66/2,218.13
  6. Step 6: Final answer
    x = 987.39

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1.5x scale

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.