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Finding the Fourth Proportional to 653.71, 978.42 and 422.01

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Solution

The fourth proportional to 653.71, 978.42 and 422.01 is: 631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.71 : 978.42 = 422.01 : x
  2. Step 2: Convert to fraction form
    653.71/978.42 = 422.01/x
  3. Step 3: Cross multiply
    653.71x = 978.42 × 422.01
  4. Step 4: Simplify right side
    653.71x = 412,903.02
  5. Step 5: Solve for x
    x = 412,903.02/653.71
  6. Step 6: Final answer
    x = 631.63

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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.