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Finding the Fourth Proportional to 471.52, 706.26 and 288.36

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Solution

The fourth proportional to 471.52, 706.26 and 288.36 is: 431.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.52 : 706.26 = 288.36 : x
  2. Step 2: Convert to fraction form
    471.52/706.26 = 288.36/x
  3. Step 3: Cross multiply
    471.52x = 706.26 × 288.36
  4. Step 4: Simplify right side
    471.52x = 203,657.13
  5. Step 5: Solve for x
    x = 203,657.13/471.52
  6. Step 6: Final answer
    x = 431.92

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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.