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Finding the Fourth Proportional to 826.60, 1,141.22 and 565.16

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Solution

The fourth proportional to 826.60, 1,141.22 and 565.16 is: 780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.60 : 1,141.22 = 565.16 : x
  2. Step 2: Convert to fraction form
    826.60/1,141.22 = 565.16/x
  3. Step 3: Cross multiply
    826.60x = 1,141.22 × 565.16
  4. Step 4: Simplify right side
    826.60x = 644,971.90
  5. Step 5: Solve for x
    x = 644,971.90/826.60
  6. Step 6: Final answer
    x = 780.27

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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.