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Finding the Fourth Proportional to 1,178.24, 1,767.82 and 872.67

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Solution

The fourth proportional to 1,178.24, 1,767.82 and 872.67 is: 1,309.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.24 : 1,767.82 = 872.67 : x
  2. Step 2: Convert to fraction form
    1,178.24/1,767.82 = 872.67/x
  3. Step 3: Cross multiply
    1,178.24x = 1,767.82 × 872.67
  4. Step 4: Simplify right side
    1,178.24x = 1,542,719.12
  5. Step 5: Solve for x
    x = 1,542,719.12/1,178.24
  6. Step 6: Final answer
    x = 1,309.34

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1.5x scale

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.