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Finding the Fourth Proportional to 471.75, 703.52 and 419.31

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Solution

The fourth proportional to 471.75, 703.52 and 419.31 is: 625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.75 : 703.52 = 419.31 : x
  2. Step 2: Convert to fraction form
    471.75/703.52 = 419.31/x
  3. Step 3: Cross multiply
    471.75x = 703.52 × 419.31
  4. Step 4: Simplify right side
    471.75x = 294,991.38
  5. Step 5: Solve for x
    x = 294,991.38/471.75
  6. Step 6: Final answer
    x = 625.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.