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Finding the Fourth Proportional to 2,218.43, 3,328.20 and 658.47

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Solution

The fourth proportional to 2,218.43, 3,328.20 and 658.47 is: 987.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,218.43 : 3,328.20 = 658.47 : x
  2. Step 2: Convert to fraction form
    2,218.43/3,328.20 = 658.47/x
  3. Step 3: Cross multiply
    2,218.43x = 3,328.20 × 658.47
  4. Step 4: Simplify right side
    2,218.43x = 2,191,519.85
  5. Step 5: Solve for x
    x = 2,191,519.85/2,218.43
  6. Step 6: Final answer
    x = 987.87

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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.