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Finding the Fourth Proportional to 487.62, 673.82 and 422.01

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Solution

The fourth proportional to 487.62, 673.82 and 422.01 is: 583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.62 : 673.82 = 422.01 : x
  2. Step 2: Convert to fraction form
    487.62/673.82 = 422.01/x
  3. Step 3: Cross multiply
    487.62x = 673.82 × 422.01
  4. Step 4: Simplify right side
    487.62x = 284,358.78
  5. Step 5: Solve for x
    x = 284,358.78/487.62
  6. Step 6: Final answer
    x = 583.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.