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Finding the Fourth Proportional to 837.56, 1,155.31 and 660.24

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Solution

The fourth proportional to 837.56, 1,155.31 and 660.24 is: 910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.56 : 1,155.31 = 660.24 : x
  2. Step 2: Convert to fraction form
    837.56/1,155.31 = 660.24/x
  3. Step 3: Cross multiply
    837.56x = 1,155.31 × 660.24
  4. Step 4: Simplify right side
    837.56x = 762,780.22
  5. Step 5: Solve for x
    x = 762,780.22/837.56
  6. Step 6: Final answer
    x = 910.72

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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.