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Finding the Fourth Proportional to 898.80, 1,340.40 and 881.52

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Solution

The fourth proportional to 898.80, 1,340.40 and 881.52 is: 1,314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.80 : 1,340.40 = 881.52 : x
  2. Step 2: Convert to fraction form
    898.80/1,340.40 = 881.52/x
  3. Step 3: Cross multiply
    898.80x = 1,340.40 × 881.52
  4. Step 4: Simplify right side
    898.80x = 1,181,589.41
  5. Step 5: Solve for x
    x = 1,181,589.41/898.80
  6. Step 6: Final answer
    x = 1,314.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.