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Finding the Fourth Proportional to 891.20, 1,228.19 and 642.08

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Solution

The fourth proportional to 891.20, 1,228.19 and 642.08 is: 884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.20 : 1,228.19 = 642.08 : x
  2. Step 2: Convert to fraction form
    891.20/1,228.19 = 642.08/x
  3. Step 3: Cross multiply
    891.20x = 1,228.19 × 642.08
  4. Step 4: Simplify right side
    891.20x = 788,586.88
  5. Step 5: Solve for x
    x = 788,586.88/891.20
  6. Step 6: Final answer
    x = 884.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.