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Finding the Fourth Proportional to 1,106.41, 1,658.85 and 489.78

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Solution

The fourth proportional to 1,106.41, 1,658.85 and 489.78 is: 734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.41 : 1,658.85 = 489.78 : x
  2. Step 2: Convert to fraction form
    1,106.41/1,658.85 = 489.78/x
  3. Step 3: Cross multiply
    1,106.41x = 1,658.85 × 489.78
  4. Step 4: Simplify right side
    1,106.41x = 812,471.55
  5. Step 5: Solve for x
    x = 812,471.55/1,106.41
  6. Step 6: Final answer
    x = 734.33

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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.