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Finding the Fourth Proportional to 634.28, 874.30 and 476.69

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Solution

The fourth proportional to 634.28, 874.30 and 476.69 is: 657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.28 : 874.30 = 476.69 : x
  2. Step 2: Convert to fraction form
    634.28/874.30 = 476.69/x
  3. Step 3: Cross multiply
    634.28x = 874.30 × 476.69
  4. Step 4: Simplify right side
    634.28x = 416,765.70
  5. Step 5: Solve for x
    x = 416,765.70/634.28
  6. Step 6: Final answer
    x = 657.07

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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.