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Finding the Fourth Proportional to 472.41, 705.43 and 385.91

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Solution

The fourth proportional to 472.41, 705.43 and 385.91 is: 576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.41 : 705.43 = 385.91 : x
  2. Step 2: Convert to fraction form
    472.41/705.43 = 385.91/x
  3. Step 3: Cross multiply
    472.41x = 705.43 × 385.91
  4. Step 4: Simplify right side
    472.41x = 272,227.94
  5. Step 5: Solve for x
    x = 272,227.94/472.41
  6. Step 6: Final answer
    x = 576.26

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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.