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Finding the Fourth Proportional to 868.20, 1,195.74 and 805.56

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Solution

The fourth proportional to 868.20, 1,195.74 and 805.56 is: 1,109.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.20 : 1,195.74 = 805.56 : x
  2. Step 2: Convert to fraction form
    868.20/1,195.74 = 805.56/x
  3. Step 3: Cross multiply
    868.20x = 1,195.74 × 805.56
  4. Step 4: Simplify right side
    868.20x = 963,240.31
  5. Step 5: Solve for x
    x = 963,240.31/868.20
  6. Step 6: Final answer
    x = 1,109.47

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1.5x scale

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.