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Finding the Fourth Proportional to 474.85, 654.24 and 395.88

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Solution

The fourth proportional to 474.85, 654.24 and 395.88 is: 545.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.85 : 654.24 = 395.88 : x
  2. Step 2: Convert to fraction form
    474.85/654.24 = 395.88/x
  3. Step 3: Cross multiply
    474.85x = 654.24 × 395.88
  4. Step 4: Simplify right side
    474.85x = 259,000.53
  5. Step 5: Solve for x
    x = 259,000.53/474.85
  6. Step 6: Final answer
    x = 545.44

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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.