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Finding the Fourth Proportional to 821.11, 1,230.28 and 577.20

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Solution

The fourth proportional to 821.11, 1,230.28 and 577.20 is: 864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.11 : 1,230.28 = 577.20 : x
  2. Step 2: Convert to fraction form
    821.11/1,230.28 = 577.20/x
  3. Step 3: Cross multiply
    821.11x = 1,230.28 × 577.20
  4. Step 4: Simplify right side
    821.11x = 710,117.62
  5. Step 5: Solve for x
    x = 710,117.62/821.11
  6. Step 6: Final answer
    x = 864.83

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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.