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Finding the Fourth Proportional to 1,263.84, 1,744.22 and 739.76

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Solution

The fourth proportional to 1,263.84, 1,744.22 and 739.76 is: 1,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.84 : 1,744.22 = 739.76 : x
  2. Step 2: Convert to fraction form
    1,263.84/1,744.22 = 739.76/x
  3. Step 3: Cross multiply
    1,263.84x = 1,744.22 × 739.76
  4. Step 4: Simplify right side
    1,263.84x = 1,290,304.19
  5. Step 5: Solve for x
    x = 1,290,304.19/1,263.84
  6. Step 6: Final answer
    x = 1,020.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.