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Finding the Fourth Proportional to 452.47, 677.70 and 349

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Solution

The fourth proportional to 452.47, 677.70 and 349 is: 522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.47 : 677.70 = 349 : x
  2. Step 2: Convert to fraction form
    452.47/677.70 = 349/x
  3. Step 3: Cross multiply
    452.47x = 677.70 × 349
  4. Step 4: Simplify right side
    452.47x = 236,517.30
  5. Step 5: Solve for x
    x = 236,517.30/452.47
  6. Step 6: Final answer
    x = 522.72

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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.