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Finding the Fourth Proportional to 620.27, 929.68 and 613.42

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Solution

The fourth proportional to 620.27, 929.68 and 613.42 is: 919.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.27 : 929.68 = 613.42 : x
  2. Step 2: Convert to fraction form
    620.27/929.68 = 613.42/x
  3. Step 3: Cross multiply
    620.27x = 929.68 × 613.42
  4. Step 4: Simplify right side
    620.27x = 570,280.45
  5. Step 5: Solve for x
    x = 570,280.45/620.27
  6. Step 6: Final answer
    x = 919.41

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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.