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Finding the Fourth Proportional to 472.06, 709.31 and 427.11

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Solution

The fourth proportional to 472.06, 709.31 and 427.11 is: 641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 709.31 = 427.11 : x
  2. Step 2: Convert to fraction form
    472.06/709.31 = 427.11/x
  3. Step 3: Cross multiply
    472.06x = 709.31 × 427.11
  4. Step 4: Simplify right side
    472.06x = 302,953.39
  5. Step 5: Solve for x
    x = 302,953.39/472.06
  6. Step 6: Final answer
    x = 641.77

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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.