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Finding the Fourth Proportional to 1,106, 1,659.39 and 489.63

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Solution

The fourth proportional to 1,106, 1,659.39 and 489.63 is: 734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106 : 1,659.39 = 489.63 : x
  2. Step 2: Convert to fraction form
    1,106/1,659.39 = 489.63/x
  3. Step 3: Cross multiply
    1,106x = 1,659.39 × 489.63
  4. Step 4: Simplify right side
    1,106x = 812,487.13
  5. Step 5: Solve for x
    x = 812,487.13/1,106
  6. Step 6: Final answer
    x = 734.62

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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.