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Finding the Fourth Proportional to 1,011.90, 1,392.91 and 872.48

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Solution

The fourth proportional to 1,011.90, 1,392.91 and 872.48 is: 1,200.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.90 : 1,392.91 = 872.48 : x
  2. Step 2: Convert to fraction form
    1,011.90/1,392.91 = 872.48/x
  3. Step 3: Cross multiply
    1,011.90x = 1,392.91 × 872.48
  4. Step 4: Simplify right side
    1,011.90x = 1,215,286.12
  5. Step 5: Solve for x
    x = 1,215,286.12/1,011.90
  6. Step 6: Final answer
    x = 1,200.99

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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.