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Finding the Fourth Proportional to 821.79, 1,233.47 and 514.26

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Solution

The fourth proportional to 821.79, 1,233.47 and 514.26 is: 771.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.79 : 1,233.47 = 514.26 : x
  2. Step 2: Convert to fraction form
    821.79/1,233.47 = 514.26/x
  3. Step 3: Cross multiply
    821.79x = 1,233.47 × 514.26
  4. Step 4: Simplify right side
    821.79x = 634,325.57
  5. Step 5: Solve for x
    x = 634,325.57/821.79
  6. Step 6: Final answer
    x = 771.88

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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.