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Finding the Fourth Proportional to 844.28, 1,267.50 and 708.20

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Solution

The fourth proportional to 844.28, 1,267.50 and 708.20 is: 1,063.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.28 : 1,267.50 = 708.20 : x
  2. Step 2: Convert to fraction form
    844.28/1,267.50 = 708.20/x
  3. Step 3: Cross multiply
    844.28x = 1,267.50 × 708.20
  4. Step 4: Simplify right side
    844.28x = 897,643.50
  5. Step 5: Solve for x
    x = 897,643.50/844.28
  6. Step 6: Final answer
    x = 1,063.21

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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.