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Finding the Fourth Proportional to 821.07, 1,232.84 and 514.86

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Solution

The fourth proportional to 821.07, 1,232.84 and 514.86 is: 773.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.07 : 1,232.84 = 514.86 : x
  2. Step 2: Convert to fraction form
    821.07/1,232.84 = 514.86/x
  3. Step 3: Cross multiply
    821.07x = 1,232.84 × 514.86
  4. Step 4: Simplify right side
    821.07x = 634,737.43
  5. Step 5: Solve for x
    x = 634,737.43/821.07
  6. Step 6: Final answer
    x = 773.06

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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.