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Finding the Fourth Proportional to 824.88, 1,131.17 and 741.72

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Solution

The fourth proportional to 824.88, 1,131.17 and 741.72 is: 1,017.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.88 : 1,131.17 = 741.72 : x
  2. Step 2: Convert to fraction form
    824.88/1,131.17 = 741.72/x
  3. Step 3: Cross multiply
    824.88x = 1,131.17 × 741.72
  4. Step 4: Simplify right side
    824.88x = 839,011.95
  5. Step 5: Solve for x
    x = 839,011.95/824.88
  6. Step 6: Final answer
    x = 1,017.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.