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Finding the Fourth Proportional to 1,516.82, 2,277.95 and 997.88

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Solution

The fourth proportional to 1,516.82, 2,277.95 and 997.88 is: 1,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,516.82 : 2,277.95 = 997.88 : x
  2. Step 2: Convert to fraction form
    1,516.82/2,277.95 = 997.88/x
  3. Step 3: Cross multiply
    1,516.82x = 2,277.95 × 997.88
  4. Step 4: Simplify right side
    1,516.82x = 2,273,104.37
  5. Step 5: Solve for x
    x = 2,273,104.37/1,516.82
  6. Step 6: Final answer
    x = 1,498.60

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1.5x scale

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.