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Finding the Fourth Proportional to 1,265.91, 1,898.87 and 496.41

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Solution

The fourth proportional to 1,265.91, 1,898.87 and 496.41 is: 744.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.91 : 1,898.87 = 496.41 : x
  2. Step 2: Convert to fraction form
    1,265.91/1,898.87 = 496.41/x
  3. Step 3: Cross multiply
    1,265.91x = 1,898.87 × 496.41
  4. Step 4: Simplify right side
    1,265.91x = 942,608.45
  5. Step 5: Solve for x
    x = 942,608.45/1,265.91
  6. Step 6: Final answer
    x = 744.61

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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.