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Finding the Fourth Proportional to 634.56, 945.84 and 613.50

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Solution

The fourth proportional to 634.56, 945.84 and 613.50 is: 914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.56 : 945.84 = 613.50 : x
  2. Step 2: Convert to fraction form
    634.56/945.84 = 613.50/x
  3. Step 3: Cross multiply
    634.56x = 945.84 × 613.50
  4. Step 4: Simplify right side
    634.56x = 580,272.84
  5. Step 5: Solve for x
    x = 580,272.84/634.56
  6. Step 6: Final answer
    x = 914.45

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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.