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Finding the Fourth Proportional to 634.88, 876.06 and 386.12

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Solution

The fourth proportional to 634.88, 876.06 and 386.12 is: 532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.88 : 876.06 = 386.12 : x
  2. Step 2: Convert to fraction form
    634.88/876.06 = 386.12/x
  3. Step 3: Cross multiply
    634.88x = 876.06 × 386.12
  4. Step 4: Simplify right side
    634.88x = 338,264.29
  5. Step 5: Solve for x
    x = 338,264.29/634.88
  6. Step 6: Final answer
    x = 532.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.