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Finding the Fourth Proportional to 861.58, 1,290.24 and 822.10

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Solution

The fourth proportional to 861.58, 1,290.24 and 822.10 is: 1,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.58 : 1,290.24 = 822.10 : x
  2. Step 2: Convert to fraction form
    861.58/1,290.24 = 822.10/x
  3. Step 3: Cross multiply
    861.58x = 1,290.24 × 822.10
  4. Step 4: Simplify right side
    861.58x = 1,060,706.30
  5. Step 5: Solve for x
    x = 1,060,706.30/861.58
  6. Step 6: Final answer
    x = 1,231.12

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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.