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Finding the Fourth Proportional to 634.50, 876.15 and 402.03

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Solution

The fourth proportional to 634.50, 876.15 and 402.03 is: 555.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 876.15 = 402.03 : x
  2. Step 2: Convert to fraction form
    634.50/876.15 = 402.03/x
  3. Step 3: Cross multiply
    634.50x = 876.15 × 402.03
  4. Step 4: Simplify right side
    634.50x = 352,238.58
  5. Step 5: Solve for x
    x = 352,238.58/634.50
  6. Step 6: Final answer
    x = 555.14

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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.