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Finding the Fourth Proportional to 472.44, 705.78 and 376.36

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Solution

The fourth proportional to 472.44, 705.78 and 376.36 is: 562.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 705.78 = 376.36 : x
  2. Step 2: Convert to fraction form
    472.44/705.78 = 376.36/x
  3. Step 3: Cross multiply
    472.44x = 705.78 × 376.36
  4. Step 4: Simplify right side
    472.44x = 265,627.36
  5. Step 5: Solve for x
    x = 265,627.36/472.44
  6. Step 6: Final answer
    x = 562.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.