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Finding the Fourth Proportional to 821.79, 1,233.38 and 410.80

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Solution

The fourth proportional to 821.79, 1,233.38 and 410.80 is: 616.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.79 : 1,233.38 = 410.80 : x
  2. Step 2: Convert to fraction form
    821.79/1,233.38 = 410.80/x
  3. Step 3: Cross multiply
    821.79x = 1,233.38 × 410.80
  4. Step 4: Simplify right side
    821.79x = 506,672.50
  5. Step 5: Solve for x
    x = 506,672.50/821.79
  6. Step 6: Final answer
    x = 616.55

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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.