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Finding the Fourth Proportional to 471.19, 706.78 and 288.54

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Solution

The fourth proportional to 471.19, 706.78 and 288.54 is: 432.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.19 : 706.78 = 288.54 : x
  2. Step 2: Convert to fraction form
    471.19/706.78 = 288.54/x
  3. Step 3: Cross multiply
    471.19x = 706.78 × 288.54
  4. Step 4: Simplify right side
    471.19x = 203,934.30
  5. Step 5: Solve for x
    x = 203,934.30/471.19
  6. Step 6: Final answer
    x = 432.81

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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.