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Finding the Fourth Proportional to 733.02, 1,100.16 and 489.84

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Solution

The fourth proportional to 733.02, 1,100.16 and 489.84 is: 735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.02 : 1,100.16 = 489.84 : x
  2. Step 2: Convert to fraction form
    733.02/1,100.16 = 489.84/x
  3. Step 3: Cross multiply
    733.02x = 1,100.16 × 489.84
  4. Step 4: Simplify right side
    733.02x = 538,902.37
  5. Step 5: Solve for x
    x = 538,902.37/733.02
  6. Step 6: Final answer
    x = 735.18

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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.