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Finding the Fourth Proportional to 417.66, 622.69 and 391.23

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Solution

The fourth proportional to 417.66, 622.69 and 391.23 is: 583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.66 : 622.69 = 391.23 : x
  2. Step 2: Convert to fraction form
    417.66/622.69 = 391.23/x
  3. Step 3: Cross multiply
    417.66x = 622.69 × 391.23
  4. Step 4: Simplify right side
    417.66x = 243,614.03
  5. Step 5: Solve for x
    x = 243,614.03/417.66
  6. Step 6: Final answer
    x = 583.29

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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.