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Finding the Fourth Proportional to 892.68, 1,231.32 and 753.72

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Solution

The fourth proportional to 892.68, 1,231.32 and 753.72 is: 1,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.68 : 1,231.32 = 753.72 : x
  2. Step 2: Convert to fraction form
    892.68/1,231.32 = 753.72/x
  3. Step 3: Cross multiply
    892.68x = 1,231.32 × 753.72
  4. Step 4: Simplify right side
    892.68x = 928,070.51
  5. Step 5: Solve for x
    x = 928,070.51/892.68
  6. Step 6: Final answer
    x = 1,039.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.