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Finding the Fourth Proportional to 617.12, 924.88 and 343.34

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Solution

The fourth proportional to 617.12, 924.88 and 343.34 is: 514.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.12 : 924.88 = 343.34 : x
  2. Step 2: Convert to fraction form
    617.12/924.88 = 343.34/x
  3. Step 3: Cross multiply
    617.12x = 924.88 × 343.34
  4. Step 4: Simplify right side
    617.12x = 317,548.30
  5. Step 5: Solve for x
    x = 317,548.30/617.12
  6. Step 6: Final answer
    x = 514.56

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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.