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Finding the Fourth Proportional to 784.26, 1,178.19 and 724.11

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Solution

The fourth proportional to 784.26, 1,178.19 and 724.11 is: 1,087.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.26 : 1,178.19 = 724.11 : x
  2. Step 2: Convert to fraction form
    784.26/1,178.19 = 724.11/x
  3. Step 3: Cross multiply
    784.26x = 1,178.19 × 724.11
  4. Step 4: Simplify right side
    784.26x = 853,139.16
  5. Step 5: Solve for x
    x = 853,139.16/784.26
  6. Step 6: Final answer
    x = 1,087.83

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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.