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Finding the Fourth Proportional to 613.47, 919.67 and 305.13

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Solution

The fourth proportional to 613.47, 919.67 and 305.13 is: 457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.47 : 919.67 = 305.13 : x
  2. Step 2: Convert to fraction form
    613.47/919.67 = 305.13/x
  3. Step 3: Cross multiply
    613.47x = 919.67 × 305.13
  4. Step 4: Simplify right side
    613.47x = 280,617.38
  5. Step 5: Solve for x
    x = 280,617.38/613.47
  6. Step 6: Final answer
    x = 457.43

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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.