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Finding the Fourth Proportional to 613.37, 919.55 and 458.73

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Solution

The fourth proportional to 613.37, 919.55 and 458.73 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.37 : 919.55 = 458.73 : x
  2. Step 2: Convert to fraction form
    613.37/919.55 = 458.73/x
  3. Step 3: Cross multiply
    613.37x = 919.55 × 458.73
  4. Step 4: Simplify right side
    613.37x = 421,826.32
  5. Step 5: Solve for x
    x = 421,826.32/613.37
  6. Step 6: Final answer
    x = 687.72

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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.