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Finding the Fourth Proportional to 891.58, 1,339.30 and 862.42

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Solution

The fourth proportional to 891.58, 1,339.30 and 862.42 is: 1,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.58 : 1,339.30 = 862.42 : x
  2. Step 2: Convert to fraction form
    891.58/1,339.30 = 862.42/x
  3. Step 3: Cross multiply
    891.58x = 1,339.30 × 862.42
  4. Step 4: Simplify right side
    891.58x = 1,155,039.11
  5. Step 5: Solve for x
    x = 1,155,039.11/891.58
  6. Step 6: Final answer
    x = 1,295.50

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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.