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Finding the Fourth Proportional to 834.12, 1,150.92 and 461.10

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Solution

The fourth proportional to 834.12, 1,150.92 and 461.10 is: 636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.12 : 1,150.92 = 461.10 : x
  2. Step 2: Convert to fraction form
    834.12/1,150.92 = 461.10/x
  3. Step 3: Cross multiply
    834.12x = 1,150.92 × 461.10
  4. Step 4: Simplify right side
    834.12x = 530,686.63
  5. Step 5: Solve for x
    x = 530,686.63/834.12
  6. Step 6: Final answer
    x = 636.22

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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.