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Finding the Fourth Proportional to 864.57, 1,297.31 and 660.45

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Solution

The fourth proportional to 864.57, 1,297.31 and 660.45 is: 991.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.57 : 1,297.31 = 660.45 : x
  2. Step 2: Convert to fraction form
    864.57/1,297.31 = 660.45/x
  3. Step 3: Cross multiply
    864.57x = 1,297.31 × 660.45
  4. Step 4: Simplify right side
    864.57x = 856,805.09
  5. Step 5: Solve for x
    x = 856,805.09/864.57
  6. Step 6: Final answer
    x = 991.02

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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.