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Finding the Fourth Proportional to 834.35, 1,151.60 and 635.74

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Solution

The fourth proportional to 834.35, 1,151.60 and 635.74 is: 877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.35 : 1,151.60 = 635.74 : x
  2. Step 2: Convert to fraction form
    834.35/1,151.60 = 635.74/x
  3. Step 3: Cross multiply
    834.35x = 1,151.60 × 635.74
  4. Step 4: Simplify right side
    834.35x = 732,112.13
  5. Step 5: Solve for x
    x = 732,112.13/834.35
  6. Step 6: Final answer
    x = 877.47

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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.