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Finding the Fourth Proportional to 634.60, 952.17 and 346

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Solution

The fourth proportional to 634.60, 952.17 and 346 is: 519.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.60 : 952.17 = 346 : x
  2. Step 2: Convert to fraction form
    634.60/952.17 = 346/x
  3. Step 3: Cross multiply
    634.60x = 952.17 × 346
  4. Step 4: Simplify right side
    634.60x = 329,450.82
  5. Step 5: Solve for x
    x = 329,450.82/634.60
  6. Step 6: Final answer
    x = 519.15

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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.