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Finding the Fourth Proportional to 784.20, 1,176.36 and 321.82

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Solution

The fourth proportional to 784.20, 1,176.36 and 321.82 is: 482.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.20 : 1,176.36 = 321.82 : x
  2. Step 2: Convert to fraction form
    784.20/1,176.36 = 321.82/x
  3. Step 3: Cross multiply
    784.20x = 1,176.36 × 321.82
  4. Step 4: Simplify right side
    784.20x = 378,576.18
  5. Step 5: Solve for x
    x = 378,576.18/784.20
  6. Step 6: Final answer
    x = 482.75

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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.