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Finding the Fourth Proportional to 734.42, 1,100.01 and 489.80

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Solution

The fourth proportional to 734.42, 1,100.01 and 489.80 is: 733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.42 : 1,100.01 = 489.80 : x
  2. Step 2: Convert to fraction form
    734.42/1,100.01 = 489.80/x
  3. Step 3: Cross multiply
    734.42x = 1,100.01 × 489.80
  4. Step 4: Simplify right side
    734.42x = 538,789.48
  5. Step 5: Solve for x
    x = 538,789.48/734.42
  6. Step 6: Final answer
    x = 733.62

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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.