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Finding the Fourth Proportional to 841.60, 1,250.20 and 827.20

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Solution

The fourth proportional to 841.60, 1,250.20 and 827.20 is: 1,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.60 : 1,250.20 = 827.20 : x
  2. Step 2: Convert to fraction form
    841.60/1,250.20 = 827.20/x
  3. Step 3: Cross multiply
    841.60x = 1,250.20 × 827.20
  4. Step 4: Simplify right side
    841.60x = 1,034,165.44
  5. Step 5: Solve for x
    x = 1,034,165.44/841.60
  6. Step 6: Final answer
    x = 1,228.81

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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.