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Finding the Fourth Proportional to 472.60, 652.00 and 422.71

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Solution

The fourth proportional to 472.60, 652.00 and 422.71 is: 583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.60 : 652.00 = 422.71 : x
  2. Step 2: Convert to fraction form
    472.60/652.00 = 422.71/x
  3. Step 3: Cross multiply
    472.60x = 652.00 × 422.71
  4. Step 4: Simplify right side
    472.60x = 275,604.11
  5. Step 5: Solve for x
    x = 275,604.11/472.60
  6. Step 6: Final answer
    x = 583.17

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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.