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Finding the Fourth Proportional to 834.60, 1,252.32 and 640.84

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Solution

The fourth proportional to 834.60, 1,252.32 and 640.84 is: 961.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.60 : 1,252.32 = 640.84 : x
  2. Step 2: Convert to fraction form
    834.60/1,252.32 = 640.84/x
  3. Step 3: Cross multiply
    834.60x = 1,252.32 × 640.84
  4. Step 4: Simplify right side
    834.60x = 802,536.75
  5. Step 5: Solve for x
    x = 802,536.75/834.60
  6. Step 6: Final answer
    x = 961.58

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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.