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Finding the Fourth Proportional to 471.64, 706.42 and 288.48

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Solution

The fourth proportional to 471.64, 706.42 and 288.48 is: 432.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.64 : 706.42 = 288.48 : x
  2. Step 2: Convert to fraction form
    471.64/706.42 = 288.48/x
  3. Step 3: Cross multiply
    471.64x = 706.42 × 288.48
  4. Step 4: Simplify right side
    471.64x = 203,787.08
  5. Step 5: Solve for x
    x = 203,787.08/471.64
  6. Step 6: Final answer
    x = 432.08

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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.