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Finding the Fourth Proportional to 834.32, 1,151.24 and 498.22

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Solution

The fourth proportional to 834.32, 1,151.24 and 498.22 is: 687.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.32 : 1,151.24 = 498.22 : x
  2. Step 2: Convert to fraction form
    834.32/1,151.24 = 498.22/x
  3. Step 3: Cross multiply
    834.32x = 1,151.24 × 498.22
  4. Step 4: Simplify right side
    834.32x = 573,569.16
  5. Step 5: Solve for x
    x = 573,569.16/834.32
  6. Step 6: Final answer
    x = 687.47

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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.