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Finding the Fourth Proportional to 868.40, 1,303.32 and 677.24

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Solution

The fourth proportional to 868.40, 1,303.32 and 677.24 is: 1,016.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.40 : 1,303.32 = 677.24 : x
  2. Step 2: Convert to fraction form
    868.40/1,303.32 = 677.24/x
  3. Step 3: Cross multiply
    868.40x = 1,303.32 × 677.24
  4. Step 4: Simplify right side
    868.40x = 882,660.44
  5. Step 5: Solve for x
    x = 882,660.44/868.40
  6. Step 6: Final answer
    x = 1,016.42

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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.