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Finding the Fourth Proportional to 784.26, 1,176.06 and 321.72

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Solution

The fourth proportional to 784.26, 1,176.06 and 321.72 is: 482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.26 : 1,176.06 = 321.72 : x
  2. Step 2: Convert to fraction form
    784.26/1,176.06 = 321.72/x
  3. Step 3: Cross multiply
    784.26x = 1,176.06 × 321.72
  4. Step 4: Simplify right side
    784.26x = 378,362.02
  5. Step 5: Solve for x
    x = 378,362.02/784.26
  6. Step 6: Final answer
    x = 482.44

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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.