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Finding the Fourth Proportional to 472.48, 652.05 and 285.97

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Solution

The fourth proportional to 472.48, 652.05 and 285.97 is: 394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.48 : 652.05 = 285.97 : x
  2. Step 2: Convert to fraction form
    472.48/652.05 = 285.97/x
  3. Step 3: Cross multiply
    472.48x = 652.05 × 285.97
  4. Step 4: Simplify right side
    472.48x = 186,465.31
  5. Step 5: Solve for x
    x = 186,465.31/472.48
  6. Step 6: Final answer
    x = 394.65

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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.