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Finding the Fourth Proportional to 1,262.28, 1,892.85 and 531.46

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Solution

The fourth proportional to 1,262.28, 1,892.85 and 531.46 is: 796.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.28 : 1,892.85 = 531.46 : x
  2. Step 2: Convert to fraction form
    1,262.28/1,892.85 = 531.46/x
  3. Step 3: Cross multiply
    1,262.28x = 1,892.85 × 531.46
  4. Step 4: Simplify right side
    1,262.28x = 1,005,974.06
  5. Step 5: Solve for x
    x = 1,005,974.06/1,262.28
  6. Step 6: Final answer
    x = 796.95

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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.