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Finding the Fourth Proportional to 617.82, 924.80 and 343.23

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Solution

The fourth proportional to 617.82, 924.80 and 343.23 is: 513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 924.80 = 343.23 : x
  2. Step 2: Convert to fraction form
    617.82/924.80 = 343.23/x
  3. Step 3: Cross multiply
    617.82x = 924.80 × 343.23
  4. Step 4: Simplify right side
    617.82x = 317,412.76
  5. Step 5: Solve for x
    x = 317,412.76/617.82
  6. Step 6: Final answer
    x = 513.77

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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.