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Finding the Fourth Proportional to 864.29, 1,192.28 and 654.50

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Solution

The fourth proportional to 864.29, 1,192.28 and 654.50 is: 902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.29 : 1,192.28 = 654.50 : x
  2. Step 2: Convert to fraction form
    864.29/1,192.28 = 654.50/x
  3. Step 3: Cross multiply
    864.29x = 1,192.28 × 654.50
  4. Step 4: Simplify right side
    864.29x = 780,351.88
  5. Step 5: Solve for x
    x = 780,351.88/864.29
  6. Step 6: Final answer
    x = 902.88

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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.