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Finding the Fourth Proportional to 834.26, 1,151.37 and 498.33

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Solution

The fourth proportional to 834.26, 1,151.37 and 498.33 is: 687.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.26 : 1,151.37 = 498.33 : x
  2. Step 2: Convert to fraction form
    834.26/1,151.37 = 498.33/x
  3. Step 3: Cross multiply
    834.26x = 1,151.37 × 498.33
  4. Step 4: Simplify right side
    834.26x = 573,762.21
  5. Step 5: Solve for x
    x = 573,762.21/834.26
  6. Step 6: Final answer
    x = 687.75

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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.