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Finding the Fourth Proportional to 834.23, 1,151.42 and 480.20

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Solution

The fourth proportional to 834.23, 1,151.42 and 480.20 is: 662.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.23 : 1,151.42 = 480.20 : x
  2. Step 2: Convert to fraction form
    834.23/1,151.42 = 480.20/x
  3. Step 3: Cross multiply
    834.23x = 1,151.42 × 480.20
  4. Step 4: Simplify right side
    834.23x = 552,903.73
  5. Step 5: Solve for x
    x = 552,903.73/834.23
  6. Step 6: Final answer
    x = 662.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.