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Finding the Fourth Proportional to 834.37, 1,151.89 and 554.82

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Solution

The fourth proportional to 834.37, 1,151.89 and 554.82 is: 765.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.37 : 1,151.89 = 554.82 : x
  2. Step 2: Convert to fraction form
    834.37/1,151.89 = 554.82/x
  3. Step 3: Cross multiply
    834.37x = 1,151.89 × 554.82
  4. Step 4: Simplify right side
    834.37x = 639,085.90
  5. Step 5: Solve for x
    x = 639,085.90/834.37
  6. Step 6: Final answer
    x = 765.95

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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.