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Finding the Fourth Proportional to 634.06, 945.91 and 616.42

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Solution

The fourth proportional to 634.06, 945.91 and 616.42 is: 919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.06 : 945.91 = 616.42 : x
  2. Step 2: Convert to fraction form
    634.06/945.91 = 616.42/x
  3. Step 3: Cross multiply
    634.06x = 945.91 × 616.42
  4. Step 4: Simplify right side
    634.06x = 583,077.84
  5. Step 5: Solve for x
    x = 583,077.84/634.06
  6. Step 6: Final answer
    x = 919.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.