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Finding the Fourth Proportional to 864.46, 1,186.57 and 769.12

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Solution

The fourth proportional to 864.46, 1,186.57 and 769.12 is: 1,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.46 : 1,186.57 = 769.12 : x
  2. Step 2: Convert to fraction form
    864.46/1,186.57 = 769.12/x
  3. Step 3: Cross multiply
    864.46x = 1,186.57 × 769.12
  4. Step 4: Simplify right side
    864.46x = 912,614.72
  5. Step 5: Solve for x
    x = 912,614.72/864.46
  6. Step 6: Final answer
    x = 1,055.70

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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.