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Finding the Fourth Proportional to 617.42, 923.49 and 452.99

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Solution

The fourth proportional to 617.42, 923.49 and 452.99 is: 677.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 923.49 = 452.99 : x
  2. Step 2: Convert to fraction form
    617.42/923.49 = 452.99/x
  3. Step 3: Cross multiply
    617.42x = 923.49 × 452.99
  4. Step 4: Simplify right side
    617.42x = 418,327.12
  5. Step 5: Solve for x
    x = 418,327.12/617.42
  6. Step 6: Final answer
    x = 677.55

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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.