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Finding the Fourth Proportional to 925.68, 1,390.11 and 821.80

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Solution

The fourth proportional to 925.68, 1,390.11 and 821.80 is: 1,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.68 : 1,390.11 = 821.80 : x
  2. Step 2: Convert to fraction form
    925.68/1,390.11 = 821.80/x
  3. Step 3: Cross multiply
    925.68x = 1,390.11 × 821.80
  4. Step 4: Simplify right side
    925.68x = 1,142,387.86
  5. Step 5: Solve for x
    x = 1,142,387.86/925.68
  6. Step 6: Final answer
    x = 1,234.11

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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.