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Finding the Fourth Proportional to 832.68, 1,251.30 and 778.50

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Solution

The fourth proportional to 832.68, 1,251.30 and 778.50 is: 1,169.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.68 : 1,251.30 = 778.50 : x
  2. Step 2: Convert to fraction form
    832.68/1,251.30 = 778.50/x
  3. Step 3: Cross multiply
    832.68x = 1,251.30 × 778.50
  4. Step 4: Simplify right side
    832.68x = 974,137.05
  5. Step 5: Solve for x
    x = 974,137.05/832.68
  6. Step 6: Final answer
    x = 1,169.88

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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.