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Finding the Fourth Proportional to 617.75, 925.84 and 343.45

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Solution

The fourth proportional to 617.75, 925.84 and 343.45 is: 514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.75 : 925.84 = 343.45 : x
  2. Step 2: Convert to fraction form
    617.75/925.84 = 343.45/x
  3. Step 3: Cross multiply
    617.75x = 925.84 × 343.45
  4. Step 4: Simplify right side
    617.75x = 317,979.75
  5. Step 5: Solve for x
    x = 317,979.75/617.75
  6. Step 6: Final answer
    x = 514.74

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