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Finding the Fourth Proportional to 634.30, 874.79 and 457.42

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Solution

The fourth proportional to 634.30, 874.79 and 457.42 is: 630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.30 : 874.79 = 457.42 : x
  2. Step 2: Convert to fraction form
    634.30/874.79 = 457.42/x
  3. Step 3: Cross multiply
    634.30x = 874.79 × 457.42
  4. Step 4: Simplify right side
    634.30x = 400,146.44
  5. Step 5: Solve for x
    x = 400,146.44/634.30
  6. Step 6: Final answer
    x = 630.85

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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.