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Finding the Fourth Proportional to 474.39, 708.03 and 416.61

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Solution

The fourth proportional to 474.39, 708.03 and 416.61 is: 621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.39 : 708.03 = 416.61 : x
  2. Step 2: Convert to fraction form
    474.39/708.03 = 416.61/x
  3. Step 3: Cross multiply
    474.39x = 708.03 × 416.61
  4. Step 4: Simplify right side
    474.39x = 294,972.38
  5. Step 5: Solve for x
    x = 294,972.38/474.39
  6. Step 6: Final answer
    x = 621.79

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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.