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Finding the Fourth Proportional to 1,265.78, 1,747.61 and 824.43

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Solution

The fourth proportional to 1,265.78, 1,747.61 and 824.43 is: 1,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.78 : 1,747.61 = 824.43 : x
  2. Step 2: Convert to fraction form
    1,265.78/1,747.61 = 824.43/x
  3. Step 3: Cross multiply
    1,265.78x = 1,747.61 × 824.43
  4. Step 4: Simplify right side
    1,265.78x = 1,440,774.53
  5. Step 5: Solve for x
    x = 1,440,774.53/1,265.78
  6. Step 6: Final answer
    x = 1,138.25

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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.