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Finding the Fourth Proportional to 920.60, 1,377.30 and 834.20

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Solution

The fourth proportional to 920.60, 1,377.30 and 834.20 is: 1,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.60 : 1,377.30 = 834.20 : x
  2. Step 2: Convert to fraction form
    920.60/1,377.30 = 834.20/x
  3. Step 3: Cross multiply
    920.60x = 1,377.30 × 834.20
  4. Step 4: Simplify right side
    920.60x = 1,148,943.66
  5. Step 5: Solve for x
    x = 1,148,943.66/920.60
  6. Step 6: Final answer
    x = 1,248.04

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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.