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Finding the Fourth Proportional to 474.15, 709.79 and 288.56

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Solution

The fourth proportional to 474.15, 709.79 and 288.56 is: 431.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.15 : 709.79 = 288.56 : x
  2. Step 2: Convert to fraction form
    474.15/709.79 = 288.56/x
  3. Step 3: Cross multiply
    474.15x = 709.79 × 288.56
  4. Step 4: Simplify right side
    474.15x = 204,818.15
  5. Step 5: Solve for x
    x = 204,818.15/474.15
  6. Step 6: Final answer
    x = 431.97

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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.