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Finding the Fourth Proportional to 826.17, 1,140.00 and 531.84

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Solution

The fourth proportional to 826.17, 1,140.00 and 531.84 is: 733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.17 : 1,140.00 = 531.84 : x
  2. Step 2: Convert to fraction form
    826.17/1,140.00 = 531.84/x
  3. Step 3: Cross multiply
    826.17x = 1,140.00 × 531.84
  4. Step 4: Simplify right side
    826.17x = 606,298.17
  5. Step 5: Solve for x
    x = 606,298.17/826.17
  6. Step 6: Final answer
    x = 733.86

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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.