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Finding the Fourth Proportional to 733.50, 1,100.66 and 425.95

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Solution

The fourth proportional to 733.50, 1,100.66 and 425.95 is: 639.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.50 : 1,100.66 = 425.95 : x
  2. Step 2: Convert to fraction form
    733.50/1,100.66 = 425.95/x
  3. Step 3: Cross multiply
    733.50x = 1,100.66 × 425.95
  4. Step 4: Simplify right side
    733.50x = 468,821.25
  5. Step 5: Solve for x
    x = 468,821.25/733.50
  6. Step 6: Final answer
    x = 639.16

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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.