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Finding the Fourth Proportional to 826.18, 1,141.29 and 660.20

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Solution

The fourth proportional to 826.18, 1,141.29 and 660.20 is: 912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.18 : 1,141.29 = 660.20 : x
  2. Step 2: Convert to fraction form
    826.18/1,141.29 = 660.20/x
  3. Step 3: Cross multiply
    826.18x = 1,141.29 × 660.20
  4. Step 4: Simplify right side
    826.18x = 753,473.95
  5. Step 5: Solve for x
    x = 753,473.95/826.18
  6. Step 6: Final answer
    x = 912.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.