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Finding the Fourth Proportional to 826.17, 1,140.17 and 531.53

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Solution

The fourth proportional to 826.17, 1,140.17 and 531.53 is: 733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.17 : 1,140.17 = 531.53 : x
  2. Step 2: Convert to fraction form
    826.17/1,140.17 = 531.53/x
  3. Step 3: Cross multiply
    826.17x = 1,140.17 × 531.53
  4. Step 4: Simplify right side
    826.17x = 606,026.20
  5. Step 5: Solve for x
    x = 606,026.20/826.17
  6. Step 6: Final answer
    x = 733.54

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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.