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Finding the Fourth Proportional to 834.10, 1,251.15 and 615.40

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Solution

The fourth proportional to 834.10, 1,251.15 and 615.40 is: 923.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.10 : 1,251.15 = 615.40 : x
  2. Step 2: Convert to fraction form
    834.10/1,251.15 = 615.40/x
  3. Step 3: Cross multiply
    834.10x = 1,251.15 × 615.40
  4. Step 4: Simplify right side
    834.10x = 769,957.71
  5. Step 5: Solve for x
    x = 769,957.71/834.10
  6. Step 6: Final answer
    x = 923.10

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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.