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Finding the Fourth Proportional to 634.95, 874.94 and 468.90

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Solution

The fourth proportional to 634.95, 874.94 and 468.90 is: 646.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.95 : 874.94 = 468.90 : x
  2. Step 2: Convert to fraction form
    634.95/874.94 = 468.90/x
  3. Step 3: Cross multiply
    634.95x = 874.94 × 468.90
  4. Step 4: Simplify right side
    634.95x = 410,257.02
  5. Step 5: Solve for x
    x = 410,257.02/634.95
  6. Step 6: Final answer
    x = 646.12

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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.