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Finding the Fourth Proportional to 474.73, 708.28 and 406.28

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Solution

The fourth proportional to 474.73, 708.28 and 406.28 is: 606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.73 : 708.28 = 406.28 : x
  2. Step 2: Convert to fraction form
    474.73/708.28 = 406.28/x
  3. Step 3: Cross multiply
    474.73x = 708.28 × 406.28
  4. Step 4: Simplify right side
    474.73x = 287,760.75
  5. Step 5: Solve for x
    x = 287,760.75/474.73
  6. Step 6: Final answer
    x = 606.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.