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Finding the Fourth Proportional to 1,263.53, 1,744.13 and 865.42

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Solution

The fourth proportional to 1,263.53, 1,744.13 and 865.42 is: 1,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.53 : 1,744.13 = 865.42 : x
  2. Step 2: Convert to fraction form
    1,263.53/1,744.13 = 865.42/x
  3. Step 3: Cross multiply
    1,263.53x = 1,744.13 × 865.42
  4. Step 4: Simplify right side
    1,263.53x = 1,509,402.79
  5. Step 5: Solve for x
    x = 1,509,402.79/1,263.53
  6. Step 6: Final answer
    x = 1,194.59

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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.