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Finding the Fourth Proportional to 826.52, 1,139.28 and 564.08

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Solution

The fourth proportional to 826.52, 1,139.28 and 564.08 is: 777.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.52 : 1,139.28 = 564.08 : x
  2. Step 2: Convert to fraction form
    826.52/1,139.28 = 564.08/x
  3. Step 3: Cross multiply
    826.52x = 1,139.28 × 564.08
  4. Step 4: Simplify right side
    826.52x = 642,645.06
  5. Step 5: Solve for x
    x = 642,645.06/826.52
  6. Step 6: Final answer
    x = 777.53

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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.