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Finding the Fourth Proportional to 634.78, 875.94 and 372.70

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Solution

The fourth proportional to 634.78, 875.94 and 372.70 is: 514.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.78 : 875.94 = 372.70 : x
  2. Step 2: Convert to fraction form
    634.78/875.94 = 372.70/x
  3. Step 3: Cross multiply
    634.78x = 875.94 × 372.70
  4. Step 4: Simplify right side
    634.78x = 326,462.84
  5. Step 5: Solve for x
    x = 326,462.84/634.78
  6. Step 6: Final answer
    x = 514.29

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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.