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Finding the Fourth Proportional to 738.68, 1,099.60 and 727.76

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Solution

The fourth proportional to 738.68, 1,099.60 and 727.76 is: 1,083.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.68 : 1,099.60 = 727.76 : x
  2. Step 2: Convert to fraction form
    738.68/1,099.60 = 727.76/x
  3. Step 3: Cross multiply
    738.68x = 1,099.60 × 727.76
  4. Step 4: Simplify right side
    738.68x = 800,244.90
  5. Step 5: Solve for x
    x = 800,244.90/738.68
  6. Step 6: Final answer
    x = 1,083.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.