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Finding the Fourth Proportional to 1,011.99, 1,517.78 and 271.61

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Solution

The fourth proportional to 1,011.99, 1,517.78 and 271.61 is: 407.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.99 : 1,517.78 = 271.61 : x
  2. Step 2: Convert to fraction form
    1,011.99/1,517.78 = 271.61/x
  3. Step 3: Cross multiply
    1,011.99x = 1,517.78 × 271.61
  4. Step 4: Simplify right side
    1,011.99x = 412,235.28
  5. Step 5: Solve for x
    x = 412,235.28/1,011.99
  6. Step 6: Final answer
    x = 407.35

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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.