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Finding the Fourth Proportional to 617.35, 926 and 252.15

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Solution

The fourth proportional to 617.35, 926 and 252.15 is: 378.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.35 : 926 = 252.15 : x
  2. Step 2: Convert to fraction form
    617.35/926 = 252.15/x
  3. Step 3: Cross multiply
    617.35x = 926 × 252.15
  4. Step 4: Simplify right side
    617.35x = 233,490.90
  5. Step 5: Solve for x
    x = 233,490.90/617.35
  6. Step 6: Final answer
    x = 378.21

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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.