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Finding the Fourth Proportional to 634.35, 875.15 and 398.19

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Solution

The fourth proportional to 634.35, 875.15 and 398.19 is: 549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.35 : 875.15 = 398.19 : x
  2. Step 2: Convert to fraction form
    634.35/875.15 = 398.19/x
  3. Step 3: Cross multiply
    634.35x = 875.15 × 398.19
  4. Step 4: Simplify right side
    634.35x = 348,473.99
  5. Step 5: Solve for x
    x = 348,473.99/634.35
  6. Step 6: Final answer
    x = 549.34

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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.