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Finding the Fourth Proportional to 862.91, 1,288.11 and 798.67

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Solution

The fourth proportional to 862.91, 1,288.11 and 798.67 is: 1,192.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.91 : 1,288.11 = 798.67 : x
  2. Step 2: Convert to fraction form
    862.91/1,288.11 = 798.67/x
  3. Step 3: Cross multiply
    862.91x = 1,288.11 × 798.67
  4. Step 4: Simplify right side
    862.91x = 1,028,764.38
  5. Step 5: Solve for x
    x = 1,028,764.38/862.91
  6. Step 6: Final answer
    x = 1,192.20

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1.5x scale

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.