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Finding the Fourth Proportional to 474.12, 654.60 and 363.39

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Solution

The fourth proportional to 474.12, 654.60 and 363.39 is: 501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 654.60 = 363.39 : x
  2. Step 2: Convert to fraction form
    474.12/654.60 = 363.39/x
  3. Step 3: Cross multiply
    474.12x = 654.60 × 363.39
  4. Step 4: Simplify right side
    474.12x = 237,875.09
  5. Step 5: Solve for x
    x = 237,875.09/474.12
  6. Step 6: Final answer
    x = 501.72

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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.