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Finding the Fourth Proportional to 472.43, 652.49 and 314.80

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Solution

The fourth proportional to 472.43, 652.49 and 314.80 is: 434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.43 : 652.49 = 314.80 : x
  2. Step 2: Convert to fraction form
    472.43/652.49 = 314.80/x
  3. Step 3: Cross multiply
    472.43x = 652.49 × 314.80
  4. Step 4: Simplify right side
    472.43x = 205,400.59
  5. Step 5: Solve for x
    x = 205,400.59/472.43
  6. Step 6: Final answer
    x = 434.78

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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.