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Finding the Fourth Proportional to 837.28, 1,248.40 and 805.20

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Solution

The fourth proportional to 837.28, 1,248.40 and 805.20 is: 1,200.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.28 : 1,248.40 = 805.20 : x
  2. Step 2: Convert to fraction form
    837.28/1,248.40 = 805.20/x
  3. Step 3: Cross multiply
    837.28x = 1,248.40 × 805.20
  4. Step 4: Simplify right side
    837.28x = 1,005,211.68
  5. Step 5: Solve for x
    x = 1,005,211.68/837.28
  6. Step 6: Final answer
    x = 1,200.57

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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.