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Finding the Fourth Proportional to 474.88, 654.96 and 376.24

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Solution

The fourth proportional to 474.88, 654.96 and 376.24 is: 518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.88 : 654.96 = 376.24 : x
  2. Step 2: Convert to fraction form
    474.88/654.96 = 376.24/x
  3. Step 3: Cross multiply
    474.88x = 654.96 × 376.24
  4. Step 4: Simplify right side
    474.88x = 246,422.15
  5. Step 5: Solve for x
    x = 246,422.15/474.88
  6. Step 6: Final answer
    x = 518.91

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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.