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Finding the Fourth Proportional to 634.08, 944.28 and 617.76

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Solution

The fourth proportional to 634.08, 944.28 and 617.76 is: 919.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.08 : 944.28 = 617.76 : x
  2. Step 2: Convert to fraction form
    634.08/944.28 = 617.76/x
  3. Step 3: Cross multiply
    634.08x = 944.28 × 617.76
  4. Step 4: Simplify right side
    634.08x = 583,338.41
  5. Step 5: Solve for x
    x = 583,338.41/634.08
  6. Step 6: Final answer
    x = 919.98

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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.