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Finding the Fourth Proportional to 821.98, 1,131.32 and 655.66

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Solution

The fourth proportional to 821.98, 1,131.32 and 655.66 is: 902.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.98 : 1,131.32 = 655.66 : x
  2. Step 2: Convert to fraction form
    821.98/1,131.32 = 655.66/x
  3. Step 3: Cross multiply
    821.98x = 1,131.32 × 655.66
  4. Step 4: Simplify right side
    821.98x = 741,761.27
  5. Step 5: Solve for x
    x = 741,761.27/821.98
  6. Step 6: Final answer
    x = 902.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.