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Finding the Fourth Proportional to 634.91, 876.02 and 369.26

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Solution

The fourth proportional to 634.91, 876.02 and 369.26 is: 509.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.91 : 876.02 = 369.26 : x
  2. Step 2: Convert to fraction form
    634.91/876.02 = 369.26/x
  3. Step 3: Cross multiply
    634.91x = 876.02 × 369.26
  4. Step 4: Simplify right side
    634.91x = 323,476.20
  5. Step 5: Solve for x
    x = 323,476.20/634.91
  6. Step 6: Final answer
    x = 509.49

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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.