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Finding the Fourth Proportional to 832.78, 1,247.28 and 422.20

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Solution

The fourth proportional to 832.78, 1,247.28 and 422.20 is: 632.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.78 : 1,247.28 = 422.20 : x
  2. Step 2: Convert to fraction form
    832.78/1,247.28 = 422.20/x
  3. Step 3: Cross multiply
    832.78x = 1,247.28 × 422.20
  4. Step 4: Simplify right side
    832.78x = 526,601.62
  5. Step 5: Solve for x
    x = 526,601.62/832.78
  6. Step 6: Final answer
    x = 632.34

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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.