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Finding the Fourth Proportional to 471.05, 648.71 and 339.85

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Solution

The fourth proportional to 471.05, 648.71 and 339.85 is: 468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.05 : 648.71 = 339.85 : x
  2. Step 2: Convert to fraction form
    471.05/648.71 = 339.85/x
  3. Step 3: Cross multiply
    471.05x = 648.71 × 339.85
  4. Step 4: Simplify right side
    471.05x = 220,462.39
  5. Step 5: Solve for x
    x = 220,462.39/471.05
  6. Step 6: Final answer
    x = 468.02

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