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Finding the Fourth Proportional to 613.41, 919.17 and 491.64

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Solution

The fourth proportional to 613.41, 919.17 and 491.64 is: 736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.41 : 919.17 = 491.64 : x
  2. Step 2: Convert to fraction form
    613.41/919.17 = 491.64/x
  3. Step 3: Cross multiply
    613.41x = 919.17 × 491.64
  4. Step 4: Simplify right side
    613.41x = 451,900.74
  5. Step 5: Solve for x
    x = 451,900.74/613.41
  6. Step 6: Final answer
    x = 736.70

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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.