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Finding the Fourth Proportional to 1,121.46, 1,682.50 and 998.91

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Solution

The fourth proportional to 1,121.46, 1,682.50 and 998.91 is: 1,498.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.46 : 1,682.50 = 998.91 : x
  2. Step 2: Convert to fraction form
    1,121.46/1,682.50 = 998.91/x
  3. Step 3: Cross multiply
    1,121.46x = 1,682.50 × 998.91
  4. Step 4: Simplify right side
    1,121.46x = 1,680,666.08
  5. Step 5: Solve for x
    x = 1,680,666.08/1,121.46
  6. Step 6: Final answer
    x = 1,498.64

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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.