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Finding the Fourth Proportional to 471.90, 704.06 and 419.93

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Solution

The fourth proportional to 471.90, 704.06 and 419.93 is: 626.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.90 : 704.06 = 419.93 : x
  2. Step 2: Convert to fraction form
    471.90/704.06 = 419.93/x
  3. Step 3: Cross multiply
    471.90x = 704.06 × 419.93
  4. Step 4: Simplify right side
    471.90x = 295,653.45
  5. Step 5: Solve for x
    x = 295,653.45/471.90
  6. Step 6: Final answer
    x = 626.52

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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.