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Finding the Fourth Proportional to 733.16, 1,099.74 and 648.12

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Solution

The fourth proportional to 733.16, 1,099.74 and 648.12 is: 972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.16 : 1,099.74 = 648.12 : x
  2. Step 2: Convert to fraction form
    733.16/1,099.74 = 648.12/x
  3. Step 3: Cross multiply
    733.16x = 1,099.74 × 648.12
  4. Step 4: Simplify right side
    733.16x = 712,763.49
  5. Step 5: Solve for x
    x = 712,763.49/733.16
  6. Step 6: Final answer
    x = 972.18

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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.