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Finding the Fourth Proportional to 864.34, 1,294.89 and 673.18

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Solution

The fourth proportional to 864.34, 1,294.89 and 673.18 is: 1,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.34 : 1,294.89 = 673.18 : x
  2. Step 2: Convert to fraction form
    864.34/1,294.89 = 673.18/x
  3. Step 3: Cross multiply
    864.34x = 1,294.89 × 673.18
  4. Step 4: Simplify right side
    864.34x = 871,694.05
  5. Step 5: Solve for x
    x = 871,694.05/864.34
  6. Step 6: Final answer
    x = 1,008.51

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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.