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Finding the Fourth Proportional to 838.26, 1,156.84 and 506.74

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Solution

The fourth proportional to 838.26, 1,156.84 and 506.74 is: 699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.26 : 1,156.84 = 506.74 : x
  2. Step 2: Convert to fraction form
    838.26/1,156.84 = 506.74/x
  3. Step 3: Cross multiply
    838.26x = 1,156.84 × 506.74
  4. Step 4: Simplify right side
    838.26x = 586,217.10
  5. Step 5: Solve for x
    x = 586,217.10/838.26
  6. Step 6: Final answer
    x = 699.33

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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.