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Finding the Fourth Proportional to 471.07, 705.05 and 349.57

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Solution

The fourth proportional to 471.07, 705.05 and 349.57 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.07 : 705.05 = 349.57 : x
  2. Step 2: Convert to fraction form
    471.07/705.05 = 349.57/x
  3. Step 3: Cross multiply
    471.07x = 705.05 × 349.57
  4. Step 4: Simplify right side
    471.07x = 246,464.33
  5. Step 5: Solve for x
    x = 246,464.33/471.07
  6. Step 6: Final answer
    x = 523.20

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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.