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Finding the Fourth Proportional to 634.67, 876.11 and 386.07

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Solution

The fourth proportional to 634.67, 876.11 and 386.07 is: 532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.67 : 876.11 = 386.07 : x
  2. Step 2: Convert to fraction form
    634.67/876.11 = 386.07/x
  3. Step 3: Cross multiply
    634.67x = 876.11 × 386.07
  4. Step 4: Simplify right side
    634.67x = 338,239.79
  5. Step 5: Solve for x
    x = 338,239.79/634.67
  6. Step 6: Final answer
    x = 532.94

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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.