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Finding the Fourth Proportional to 1,262.53, 1,893.18 and 440.78

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Solution

The fourth proportional to 1,262.53, 1,893.18 and 440.78 is: 660.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.53 : 1,893.18 = 440.78 : x
  2. Step 2: Convert to fraction form
    1,262.53/1,893.18 = 440.78/x
  3. Step 3: Cross multiply
    1,262.53x = 1,893.18 × 440.78
  4. Step 4: Simplify right side
    1,262.53x = 834,475.88
  5. Step 5: Solve for x
    x = 834,475.88/1,262.53
  6. Step 6: Final answer
    x = 660.96

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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.