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Finding the Fourth Proportional to 653.14, 978.09 and 422.02

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Solution

The fourth proportional to 653.14, 978.09 and 422.02 is: 631.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.14 : 978.09 = 422.02 : x
  2. Step 2: Convert to fraction form
    653.14/978.09 = 422.02/x
  3. Step 3: Cross multiply
    653.14x = 978.09 × 422.02
  4. Step 4: Simplify right side
    653.14x = 412,773.54
  5. Step 5: Solve for x
    x = 412,773.54/653.14
  6. Step 6: Final answer
    x = 631.98

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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.