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Finding the Fourth Proportional to 852.40, 1,176.84 and 677.20

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Solution

The fourth proportional to 852.40, 1,176.84 and 677.20 is: 934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,176.84 = 677.20 : x
  2. Step 2: Convert to fraction form
    852.40/1,176.84 = 677.20/x
  3. Step 3: Cross multiply
    852.40x = 1,176.84 × 677.20
  4. Step 4: Simplify right side
    852.40x = 796,956.05
  5. Step 5: Solve for x
    x = 796,956.05/852.40
  6. Step 6: Final answer
    x = 934.96

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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.