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Finding the Fourth Proportional to 634.13, 874.72 and 409.96

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Solution

The fourth proportional to 634.13, 874.72 and 409.96 is: 565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.13 : 874.72 = 409.96 : x
  2. Step 2: Convert to fraction form
    634.13/874.72 = 409.96/x
  3. Step 3: Cross multiply
    634.13x = 874.72 × 409.96
  4. Step 4: Simplify right side
    634.13x = 358,602.97
  5. Step 5: Solve for x
    x = 358,602.97/634.13
  6. Step 6: Final answer
    x = 565.50

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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.