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Finding the Fourth Proportional to 864.27, 1,191.87 and 740.34

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Solution

The fourth proportional to 864.27, 1,191.87 and 740.34 is: 1,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.27 : 1,191.87 = 740.34 : x
  2. Step 2: Convert to fraction form
    864.27/1,191.87 = 740.34/x
  3. Step 3: Cross multiply
    864.27x = 1,191.87 × 740.34
  4. Step 4: Simplify right side
    864.27x = 882,389.04
  5. Step 5: Solve for x
    x = 882,389.04/864.27
  6. Step 6: Final answer
    x = 1,020.96

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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.