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Finding the Fourth Proportional to 472.44, 705.15 and 423.72

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Solution

The fourth proportional to 472.44, 705.15 and 423.72 is: 632.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.44 : 705.15 = 423.72 : x
  2. Step 2: Convert to fraction form
    472.44/705.15 = 423.72/x
  3. Step 3: Cross multiply
    472.44x = 705.15 × 423.72
  4. Step 4: Simplify right side
    472.44x = 298,786.16
  5. Step 5: Solve for x
    x = 298,786.16/472.44
  6. Step 6: Final answer
    x = 632.43

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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.