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Finding the Fourth Proportional to 474.08, 709.49 and 327.87

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Solution

The fourth proportional to 474.08, 709.49 and 327.87 is: 490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.08 : 709.49 = 327.87 : x
  2. Step 2: Convert to fraction form
    474.08/709.49 = 327.87/x
  3. Step 3: Cross multiply
    474.08x = 709.49 × 327.87
  4. Step 4: Simplify right side
    474.08x = 232,621.31
  5. Step 5: Solve for x
    x = 232,621.31/474.08
  6. Step 6: Final answer
    x = 490.68

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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.