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Finding the Fourth Proportional to 738.02, 1,105.29 and 731.81

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Solution

The fourth proportional to 738.02, 1,105.29 and 731.81 is: 1,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.02 : 1,105.29 = 731.81 : x
  2. Step 2: Convert to fraction form
    738.02/1,105.29 = 731.81/x
  3. Step 3: Cross multiply
    738.02x = 1,105.29 × 731.81
  4. Step 4: Simplify right side
    738.02x = 808,856.75
  5. Step 5: Solve for x
    x = 808,856.75/738.02
  6. Step 6: Final answer
    x = 1,095.99

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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.