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Finding the Fourth Proportional to 826.25, 1,141 and 532.03

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Solution

The fourth proportional to 826.25, 1,141 and 532.03 is: 734.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.25 : 1,141 = 532.03 : x
  2. Step 2: Convert to fraction form
    826.25/1,141 = 532.03/x
  3. Step 3: Cross multiply
    826.25x = 1,141 × 532.03
  4. Step 4: Simplify right side
    826.25x = 607,046.23
  5. Step 5: Solve for x
    x = 607,046.23/826.25
  6. Step 6: Final answer
    x = 734.70

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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.