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Finding the Fourth Proportional to 634.55, 876.11 and 411.03

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Solution

The fourth proportional to 634.55, 876.11 and 411.03 is: 567.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.55 : 876.11 = 411.03 : x
  2. Step 2: Convert to fraction form
    634.55/876.11 = 411.03/x
  3. Step 3: Cross multiply
    634.55x = 876.11 × 411.03
  4. Step 4: Simplify right side
    634.55x = 360,108.52
  5. Step 5: Solve for x
    x = 360,108.52/634.55
  6. Step 6: Final answer
    x = 567.50

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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.