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Finding the Fourth Proportional to 834.21, 1,242.49 and 790.29

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Solution

The fourth proportional to 834.21, 1,242.49 and 790.29 is: 1,177.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.21 : 1,242.49 = 790.29 : x
  2. Step 2: Convert to fraction form
    834.21/1,242.49 = 790.29/x
  3. Step 3: Cross multiply
    834.21x = 1,242.49 × 790.29
  4. Step 4: Simplify right side
    834.21x = 981,932.17
  5. Step 5: Solve for x
    x = 981,932.17/834.21
  6. Step 6: Final answer
    x = 1,177.08

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1.5x scale

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.