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Finding the Fourth Proportional to 617.22, 926.16 and 411.90

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Solution

The fourth proportional to 617.22, 926.16 and 411.90 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.22 : 926.16 = 411.90 : x
  2. Step 2: Convert to fraction form
    617.22/926.16 = 411.90/x
  3. Step 3: Cross multiply
    617.22x = 926.16 × 411.90
  4. Step 4: Simplify right side
    617.22x = 381,485.30
  5. Step 5: Solve for x
    x = 381,485.30/617.22
  6. Step 6: Final answer
    x = 618.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.