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Finding the Fourth Proportional to 1,263.83, 1,744.04 and 797.63

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Solution

The fourth proportional to 1,263.83, 1,744.04 and 797.63 is: 1,100.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.83 : 1,744.04 = 797.63 : x
  2. Step 2: Convert to fraction form
    1,263.83/1,744.04 = 797.63/x
  3. Step 3: Cross multiply
    1,263.83x = 1,744.04 × 797.63
  4. Step 4: Simplify right side
    1,263.83x = 1,391,091.90
  5. Step 5: Solve for x
    x = 1,391,091.90/1,263.83
  6. Step 6: Final answer
    x = 1,100.70

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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.