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Finding the Fourth Proportional to 1,267.52, 1,748.40 and 842.17

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Solution

The fourth proportional to 1,267.52, 1,748.40 and 842.17 is: 1,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.52 : 1,748.40 = 842.17 : x
  2. Step 2: Convert to fraction form
    1,267.52/1,748.40 = 842.17/x
  3. Step 3: Cross multiply
    1,267.52x = 1,748.40 × 842.17
  4. Step 4: Simplify right side
    1,267.52x = 1,472,450.03
  5. Step 5: Solve for x
    x = 1,472,450.03/1,267.52
  6. Step 6: Final answer
    x = 1,161.68

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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.