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Finding the Fourth Proportional to 1,105.60, 1,658.98 and 489.74

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Solution

The fourth proportional to 1,105.60, 1,658.98 and 489.74 is: 734.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.60 : 1,658.98 = 489.74 : x
  2. Step 2: Convert to fraction form
    1,105.60/1,658.98 = 489.74/x
  3. Step 3: Cross multiply
    1,105.60x = 1,658.98 × 489.74
  4. Step 4: Simplify right side
    1,105.60x = 812,468.87
  5. Step 5: Solve for x
    x = 812,468.87/1,105.60
  6. Step 6: Final answer
    x = 734.87

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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.