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Finding the Fourth Proportional to 1,105.40, 1,658.68 and 489.53

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Solution

The fourth proportional to 1,105.40, 1,658.68 and 489.53 is: 734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.40 : 1,658.68 = 489.53 : x
  2. Step 2: Convert to fraction form
    1,105.40/1,658.68 = 489.53/x
  3. Step 3: Cross multiply
    1,105.40x = 1,658.68 × 489.53
  4. Step 4: Simplify right side
    1,105.40x = 811,973.62
  5. Step 5: Solve for x
    x = 811,973.62/1,105.40
  6. Step 6: Final answer
    x = 734.55

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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.