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Finding the Fourth Proportional to 2,606.38, 3,909.58 and 658.59

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Solution

The fourth proportional to 2,606.38, 3,909.58 and 658.59 is: 987.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.38 : 3,909.58 = 658.59 : x
  2. Step 2: Convert to fraction form
    2,606.38/3,909.58 = 658.59/x
  3. Step 3: Cross multiply
    2,606.38x = 3,909.58 × 658.59
  4. Step 4: Simplify right side
    2,606.38x = 2,574,793.98
  5. Step 5: Solve for x
    x = 2,574,793.98/2,606.38
  6. Step 6: Final answer
    x = 987.88

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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.