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Finding the Fourth Proportional to 838.52, 1,251.64 and 776.75

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Solution

The fourth proportional to 838.52, 1,251.64 and 776.75 is: 1,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.52 : 1,251.64 = 776.75 : x
  2. Step 2: Convert to fraction form
    838.52/1,251.64 = 776.75/x
  3. Step 3: Cross multiply
    838.52x = 1,251.64 × 776.75
  4. Step 4: Simplify right side
    838.52x = 972,211.37
  5. Step 5: Solve for x
    x = 972,211.37/838.52
  6. Step 6: Final answer
    x = 1,159.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.