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Finding the Fourth Proportional to 821.14, 1,131.87 and 610.98

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Solution

The fourth proportional to 821.14, 1,131.87 and 610.98 is: 842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.14 : 1,131.87 = 610.98 : x
  2. Step 2: Convert to fraction form
    821.14/1,131.87 = 610.98/x
  3. Step 3: Cross multiply
    821.14x = 1,131.87 × 610.98
  4. Step 4: Simplify right side
    821.14x = 691,547.98
  5. Step 5: Solve for x
    x = 691,547.98/821.14
  6. Step 6: Final answer
    x = 842.18

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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.