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Finding the Fourth Proportional to 1,230.65, 1,844.01 and 861.16

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Solution

The fourth proportional to 1,230.65, 1,844.01 and 861.16 is: 1,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.65 : 1,844.01 = 861.16 : x
  2. Step 2: Convert to fraction form
    1,230.65/1,844.01 = 861.16/x
  3. Step 3: Cross multiply
    1,230.65x = 1,844.01 × 861.16
  4. Step 4: Simplify right side
    1,230.65x = 1,587,978.43
  5. Step 5: Solve for x
    x = 1,587,978.43/1,230.65
  6. Step 6: Final answer
    x = 1,290.36

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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.