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Finding the Fourth Proportional to 471.78, 708.48 and 452.88

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Solution

The fourth proportional to 471.78, 708.48 and 452.88 is: 680.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.78 : 708.48 = 452.88 : x
  2. Step 2: Convert to fraction form
    471.78/708.48 = 452.88/x
  3. Step 3: Cross multiply
    471.78x = 708.48 × 452.88
  4. Step 4: Simplify right side
    471.78x = 320,856.42
  5. Step 5: Solve for x
    x = 320,856.42/471.78
  6. Step 6: Final answer
    x = 680.10

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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.