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Finding the Fourth Proportional to 1,106.66, 1,659.42 and 489.65

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Solution

The fourth proportional to 1,106.66, 1,659.42 and 489.65 is: 734.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.66 : 1,659.42 = 489.65 : x
  2. Step 2: Convert to fraction form
    1,106.66/1,659.42 = 489.65/x
  3. Step 3: Cross multiply
    1,106.66x = 1,659.42 × 489.65
  4. Step 4: Simplify right side
    1,106.66x = 812,526.71
  5. Step 5: Solve for x
    x = 812,526.71/1,106.66
  6. Step 6: Final answer
    x = 734.22

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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.