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Finding the Fourth Proportional to 842.37, 1,262.34 and 495.78

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Solution

The fourth proportional to 842.37, 1,262.34 and 495.78 is: 742.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.37 : 1,262.34 = 495.78 : x
  2. Step 2: Convert to fraction form
    842.37/1,262.34 = 495.78/x
  3. Step 3: Cross multiply
    842.37x = 1,262.34 × 495.78
  4. Step 4: Simplify right side
    842.37x = 625,842.93
  5. Step 5: Solve for x
    x = 625,842.93/842.37
  6. Step 6: Final answer
    x = 742.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.