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Finding the Fourth Proportional to 417.27, 622.93 and 362.61

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Solution

The fourth proportional to 417.27, 622.93 and 362.61 is: 541.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.27 : 622.93 = 362.61 : x
  2. Step 2: Convert to fraction form
    417.27/622.93 = 362.61/x
  3. Step 3: Cross multiply
    417.27x = 622.93 × 362.61
  4. Step 4: Simplify right side
    417.27x = 225,878.83
  5. Step 5: Solve for x
    x = 225,878.83/417.27
  6. Step 6: Final answer
    x = 541.33

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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.