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Finding the Fourth Proportional to 472.52, 652.07 and 285.97

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Solution

The fourth proportional to 472.52, 652.07 and 285.97 is: 394.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.52 : 652.07 = 285.97 : x
  2. Step 2: Convert to fraction form
    472.52/652.07 = 285.97/x
  3. Step 3: Cross multiply
    472.52x = 652.07 × 285.97
  4. Step 4: Simplify right side
    472.52x = 186,471.54
  5. Step 5: Solve for x
    x = 186,471.54/472.52
  6. Step 6: Final answer
    x = 394.64

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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.