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Finding the Fourth Proportional to 652.46, 978.28 and 422.21

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Solution

The fourth proportional to 652.46, 978.28 and 422.21 is: 633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.46 : 978.28 = 422.21 : x
  2. Step 2: Convert to fraction form
    652.46/978.28 = 422.21/x
  3. Step 3: Cross multiply
    652.46x = 978.28 × 422.21
  4. Step 4: Simplify right side
    652.46x = 413,040.99
  5. Step 5: Solve for x
    x = 413,040.99/652.46
  6. Step 6: Final answer
    x = 633.06

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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.