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Finding the Fourth Proportional to 881.98, 1,315.21 and 820.42

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Solution

The fourth proportional to 881.98, 1,315.21 and 820.42 is: 1,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.98 : 1,315.21 = 820.42 : x
  2. Step 2: Convert to fraction form
    881.98/1,315.21 = 820.42/x
  3. Step 3: Cross multiply
    881.98x = 1,315.21 × 820.42
  4. Step 4: Simplify right side
    881.98x = 1,079,020.49
  5. Step 5: Solve for x
    x = 1,079,020.49/881.98
  6. Step 6: Final answer
    x = 1,223.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.