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Finding the Fourth Proportional to 620.26, 929.60 and 613.76

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Solution

The fourth proportional to 620.26, 929.60 and 613.76 is: 919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.26 : 929.60 = 613.76 : x
  2. Step 2: Convert to fraction form
    620.26/929.60 = 613.76/x
  3. Step 3: Cross multiply
    620.26x = 929.60 × 613.76
  4. Step 4: Simplify right side
    620.26x = 570,551.30
  5. Step 5: Solve for x
    x = 570,551.30/620.26
  6. Step 6: Final answer
    x = 919.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.