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Finding the Fourth Proportional to 821.74, 1,231.95 and 410.66

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Solution

The fourth proportional to 821.74, 1,231.95 and 410.66 is: 615.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.74 : 1,231.95 = 410.66 : x
  2. Step 2: Convert to fraction form
    821.74/1,231.95 = 410.66/x
  3. Step 3: Cross multiply
    821.74x = 1,231.95 × 410.66
  4. Step 4: Simplify right side
    821.74x = 505,912.59
  5. Step 5: Solve for x
    x = 505,912.59/821.74
  6. Step 6: Final answer
    x = 615.66

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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.