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Finding the Fourth Proportional to 474.43, 654.79 and 295.06

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Solution

The fourth proportional to 474.43, 654.79 and 295.06 is: 407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.43 : 654.79 = 295.06 : x
  2. Step 2: Convert to fraction form
    474.43/654.79 = 295.06/x
  3. Step 3: Cross multiply
    474.43x = 654.79 × 295.06
  4. Step 4: Simplify right side
    474.43x = 193,202.34
  5. Step 5: Solve for x
    x = 193,202.34/474.43
  6. Step 6: Final answer
    x = 407.23

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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.