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Finding the Fourth Proportional to 472.56, 706.78 and 277.09

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Solution

The fourth proportional to 472.56, 706.78 and 277.09 is: 414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 706.78 = 277.09 : x
  2. Step 2: Convert to fraction form
    472.56/706.78 = 277.09/x
  3. Step 3: Cross multiply
    472.56x = 706.78 × 277.09
  4. Step 4: Simplify right side
    472.56x = 195,840.28
  5. Step 5: Solve for x
    x = 195,840.28/472.56
  6. Step 6: Final answer
    x = 414.43

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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.