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Finding the Fourth Proportional to 820.88, 1,231.80 and 565.52

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Solution

The fourth proportional to 820.88, 1,231.80 and 565.52 is: 848.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.88 : 1,231.80 = 565.52 : x
  2. Step 2: Convert to fraction form
    820.88/1,231.80 = 565.52/x
  3. Step 3: Cross multiply
    820.88x = 1,231.80 × 565.52
  4. Step 4: Simplify right side
    820.88x = 696,607.54
  5. Step 5: Solve for x
    x = 696,607.54/820.88
  6. Step 6: Final answer
    x = 848.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.