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Finding the Fourth Proportional to 1,659.42, 2,488.78 and 489.11

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Solution

The fourth proportional to 1,659.42, 2,488.78 and 489.11 is: 733.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.42 : 2,488.78 = 489.11 : x
  2. Step 2: Convert to fraction form
    1,659.42/2,488.78 = 489.11/x
  3. Step 3: Cross multiply
    1,659.42x = 2,488.78 × 489.11
  4. Step 4: Simplify right side
    1,659.42x = 1,217,272.60
  5. Step 5: Solve for x
    x = 1,217,272.60/1,659.42
  6. Step 6: Final answer
    x = 733.55

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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.