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Finding the Fourth Proportional to 834.66, 1,252.77 and 424.09

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Solution

The fourth proportional to 834.66, 1,252.77 and 424.09 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.66 : 1,252.77 = 424.09 : x
  2. Step 2: Convert to fraction form
    834.66/1,252.77 = 424.09/x
  3. Step 3: Cross multiply
    834.66x = 1,252.77 × 424.09
  4. Step 4: Simplify right side
    834.66x = 531,287.23
  5. Step 5: Solve for x
    x = 531,287.23/834.66
  6. Step 6: Final answer
    x = 636.53

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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.