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Finding the Fourth Proportional to 417, 622.57 and 356.16

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Solution

The fourth proportional to 417, 622.57 and 356.16 is: 531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    417 : 622.57 = 356.16 : x
  2. Step 2: Convert to fraction form
    417/622.57 = 356.16/x
  3. Step 3: Cross multiply
    417x = 622.57 × 356.16
  4. Step 4: Simplify right side
    417x = 221,734.53
  5. Step 5: Solve for x
    x = 221,734.53/417
  6. Step 6: Final answer
    x = 531.74

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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.