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Finding the Fourth Proportional to 784.38, 1,176.37 and 321.69

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Solution

The fourth proportional to 784.38, 1,176.37 and 321.69 is: 482.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.38 : 1,176.37 = 321.69 : x
  2. Step 2: Convert to fraction form
    784.38/1,176.37 = 321.69/x
  3. Step 3: Cross multiply
    784.38x = 1,176.37 × 321.69
  4. Step 4: Simplify right side
    784.38x = 378,426.47
  5. Step 5: Solve for x
    x = 378,426.47/784.38
  6. Step 6: Final answer
    x = 482.45

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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.