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Finding the Fourth Proportional to 471.83, 708.14 and 361.87

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Solution

The fourth proportional to 471.83, 708.14 and 361.87 is: 543.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.83 : 708.14 = 361.87 : x
  2. Step 2: Convert to fraction form
    471.83/708.14 = 361.87/x
  3. Step 3: Cross multiply
    471.83x = 708.14 × 361.87
  4. Step 4: Simplify right side
    471.83x = 256,253.76
  5. Step 5: Solve for x
    x = 256,253.76/471.83
  6. Step 6: Final answer
    x = 543.11

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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.