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Finding the Fourth Proportional to 634.80, 874.08 and 477.66

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Solution

The fourth proportional to 634.80, 874.08 and 477.66 is: 657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.80 : 874.08 = 477.66 : x
  2. Step 2: Convert to fraction form
    634.80/874.08 = 477.66/x
  3. Step 3: Cross multiply
    634.80x = 874.08 × 477.66
  4. Step 4: Simplify right side
    634.80x = 417,513.05
  5. Step 5: Solve for x
    x = 417,513.05/634.80
  6. Step 6: Final answer
    x = 657.71

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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.