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Finding the Fourth Proportional to 471.89, 652.39 and 361.19

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Solution

The fourth proportional to 471.89, 652.39 and 361.19 is: 499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.89 : 652.39 = 361.19 : x
  2. Step 2: Convert to fraction form
    471.89/652.39 = 361.19/x
  3. Step 3: Cross multiply
    471.89x = 652.39 × 361.19
  4. Step 4: Simplify right side
    471.89x = 235,637.47
  5. Step 5: Solve for x
    x = 235,637.47/471.89
  6. Step 6: Final answer
    x = 499.35

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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.