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Finding the Fourth Proportional to 871.84, 1,299.21 and 842.45

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Solution

The fourth proportional to 871.84, 1,299.21 and 842.45 is: 1,255.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.84 : 1,299.21 = 842.45 : x
  2. Step 2: Convert to fraction form
    871.84/1,299.21 = 842.45/x
  3. Step 3: Cross multiply
    871.84x = 1,299.21 × 842.45
  4. Step 4: Simplify right side
    871.84x = 1,094,524.23
  5. Step 5: Solve for x
    x = 1,094,524.23/871.84
  6. Step 6: Final answer
    x = 1,255.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.