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Finding the Fourth Proportional to 821.76, 1,230.12 and 588.48

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Solution

The fourth proportional to 821.76, 1,230.12 and 588.48 is: 880.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.76 : 1,230.12 = 588.48 : x
  2. Step 2: Convert to fraction form
    821.76/1,230.12 = 588.48/x
  3. Step 3: Cross multiply
    821.76x = 1,230.12 × 588.48
  4. Step 4: Simplify right side
    821.76x = 723,901.02
  5. Step 5: Solve for x
    x = 723,901.02/821.76
  6. Step 6: Final answer
    x = 880.92

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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.