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Finding the Fourth Proportional to 891.12, 1,230.30 and 642.27

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Solution

The fourth proportional to 891.12, 1,230.30 and 642.27 is: 886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.12 : 1,230.30 = 642.27 : x
  2. Step 2: Convert to fraction form
    891.12/1,230.30 = 642.27/x
  3. Step 3: Cross multiply
    891.12x = 1,230.30 × 642.27
  4. Step 4: Simplify right side
    891.12x = 790,184.78
  5. Step 5: Solve for x
    x = 790,184.78/891.12
  6. Step 6: Final answer
    x = 886.73

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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.