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Finding the Fourth Proportional to 867.29, 1,301.40 and 714.56

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Solution

The fourth proportional to 867.29, 1,301.40 and 714.56 is: 1,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.29 : 1,301.40 = 714.56 : x
  2. Step 2: Convert to fraction form
    867.29/1,301.40 = 714.56/x
  3. Step 3: Cross multiply
    867.29x = 1,301.40 × 714.56
  4. Step 4: Simplify right side
    867.29x = 929,921.88
  5. Step 5: Solve for x
    x = 929,921.88/867.29
  6. Step 6: Final answer
    x = 1,072.22

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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.