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Finding the Fourth Proportional to 1,040.54, 1,560.81 and 271.04

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Solution

The fourth proportional to 1,040.54, 1,560.81 and 271.04 is: 406.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.54 : 1,560.81 = 271.04 : x
  2. Step 2: Convert to fraction form
    1,040.54/1,560.81 = 271.04/x
  3. Step 3: Cross multiply
    1,040.54x = 1,560.81 × 271.04
  4. Step 4: Simplify right side
    1,040.54x = 423,041.94
  5. Step 5: Solve for x
    x = 423,041.94/1,040.54
  6. Step 6: Final answer
    x = 406.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.