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Finding the Fourth Proportional to 821.98, 1,133.22 and 645.13

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Solution

The fourth proportional to 821.98, 1,133.22 and 645.13 is: 889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.98 : 1,133.22 = 645.13 : x
  2. Step 2: Convert to fraction form
    821.98/1,133.22 = 645.13/x
  3. Step 3: Cross multiply
    821.98x = 1,133.22 × 645.13
  4. Step 4: Simplify right side
    821.98x = 731,074.22
  5. Step 5: Solve for x
    x = 731,074.22/821.98
  6. Step 6: Final answer
    x = 889.41

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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.