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Finding the Fourth Proportional to 634.56, 875.99 and 398.63

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Solution

The fourth proportional to 634.56, 875.99 and 398.63 is: 550.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 875.99 = 398.63 : x
  2. Step 2: Convert to fraction form
    634.56/875.99 = 398.63/x
  3. Step 3: Cross multiply
    634.56x = 875.99 × 398.63
  4. Step 4: Simplify right side
    634.56x = 349,189.52
  5. Step 5: Solve for x
    x = 349,189.52/634.56
  6. Step 6: Final answer
    x = 550.29

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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.