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Finding the Fourth Proportional to 471.22, 650.36 and 347.53

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Solution

The fourth proportional to 471.22, 650.36 and 347.53 is: 479.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.22 : 650.36 = 347.53 : x
  2. Step 2: Convert to fraction form
    471.22/650.36 = 347.53/x
  3. Step 3: Cross multiply
    471.22x = 650.36 × 347.53
  4. Step 4: Simplify right side
    471.22x = 226,019.61
  5. Step 5: Solve for x
    x = 226,019.61/471.22
  6. Step 6: Final answer
    x = 479.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.