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Finding the Fourth Proportional to 472.78, 709.49 and 180.55

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Solution

The fourth proportional to 472.78, 709.49 and 180.55 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.78 : 709.49 = 180.55 : x
  2. Step 2: Convert to fraction form
    472.78/709.49 = 180.55/x
  3. Step 3: Cross multiply
    472.78x = 709.49 × 180.55
  4. Step 4: Simplify right side
    472.78x = 128,095.74
  5. Step 5: Solve for x
    x = 128,095.74/472.78
  6. Step 6: Final answer
    x = 270.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.