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Finding the Fourth Proportional to 613.34, 919.99 and 574.43

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Solution

The fourth proportional to 613.34, 919.99 and 574.43 is: 861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.34 : 919.99 = 574.43 : x
  2. Step 2: Convert to fraction form
    613.34/919.99 = 574.43/x
  3. Step 3: Cross multiply
    613.34x = 919.99 × 574.43
  4. Step 4: Simplify right side
    613.34x = 528,465.97
  5. Step 5: Solve for x
    x = 528,465.97/613.34
  6. Step 6: Final answer
    x = 861.62

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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.