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Finding the Fourth Proportional to 820.82, 1,130.92 and 540.56

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Solution

The fourth proportional to 820.82, 1,130.92 and 540.56 is: 744.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.82 : 1,130.92 = 540.56 : x
  2. Step 2: Convert to fraction form
    820.82/1,130.92 = 540.56/x
  3. Step 3: Cross multiply
    820.82x = 1,130.92 × 540.56
  4. Step 4: Simplify right side
    820.82x = 611,330.12
  5. Step 5: Solve for x
    x = 611,330.12/820.82
  6. Step 6: Final answer
    x = 744.78

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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.