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Finding the Fourth Proportional to 1,105.65, 1,658.13 and 489.20

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Solution

The fourth proportional to 1,105.65, 1,658.13 and 489.20 is: 733.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.65 : 1,658.13 = 489.20 : x
  2. Step 2: Convert to fraction form
    1,105.65/1,658.13 = 489.20/x
  3. Step 3: Cross multiply
    1,105.65x = 1,658.13 × 489.20
  4. Step 4: Simplify right side
    1,105.65x = 811,148.91
  5. Step 5: Solve for x
    x = 811,148.91/1,105.65
  6. Step 6: Final answer
    x = 733.64

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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.