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Finding the Fourth Proportional to 826.46, 1,141.52 and 605.10

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Solution

The fourth proportional to 826.46, 1,141.52 and 605.10 is: 835.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.46 : 1,141.52 = 605.10 : x
  2. Step 2: Convert to fraction form
    826.46/1,141.52 = 605.10/x
  3. Step 3: Cross multiply
    826.46x = 1,141.52 × 605.10
  4. Step 4: Simplify right side
    826.46x = 690,726.53
  5. Step 5: Solve for x
    x = 690,726.53/826.46
  6. Step 6: Final answer
    x = 835.77

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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.