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Finding the Fourth Proportional to 474.05, 654.28 and 334.13

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Solution

The fourth proportional to 474.05, 654.28 and 334.13 is: 461.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.05 : 654.28 = 334.13 : x
  2. Step 2: Convert to fraction form
    474.05/654.28 = 334.13/x
  3. Step 3: Cross multiply
    474.05x = 654.28 × 334.13
  4. Step 4: Simplify right side
    474.05x = 218,610.47
  5. Step 5: Solve for x
    x = 218,610.47/474.05
  6. Step 6: Final answer
    x = 461.15

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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.