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Finding the Fourth Proportional to 1,260.92, 1,740.28 and 729.82

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Solution

The fourth proportional to 1,260.92, 1,740.28 and 729.82 is: 1,007.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.92 : 1,740.28 = 729.82 : x
  2. Step 2: Convert to fraction form
    1,260.92/1,740.28 = 729.82/x
  3. Step 3: Cross multiply
    1,260.92x = 1,740.28 × 729.82
  4. Step 4: Simplify right side
    1,260.92x = 1,270,083.76
  5. Step 5: Solve for x
    x = 1,270,083.76/1,260.92
  6. Step 6: Final answer
    x = 1,007.27

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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.