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Finding the Fourth Proportional to 613.80, 845.91 and 508.57

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Solution

The fourth proportional to 613.80, 845.91 and 508.57 is: 700.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 845.91 = 508.57 : x
  2. Step 2: Convert to fraction form
    613.80/845.91 = 508.57/x
  3. Step 3: Cross multiply
    613.80x = 845.91 × 508.57
  4. Step 4: Simplify right side
    613.80x = 430,202.33
  5. Step 5: Solve for x
    x = 430,202.33/613.80
  6. Step 6: Final answer
    x = 700.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.