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Finding the Fourth Proportional to 613.80, 919.37 and 465.91

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Solution

The fourth proportional to 613.80, 919.37 and 465.91 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.80 : 919.37 = 465.91 : x
  2. Step 2: Convert to fraction form
    613.80/919.37 = 465.91/x
  3. Step 3: Cross multiply
    613.80x = 919.37 × 465.91
  4. Step 4: Simplify right side
    613.80x = 428,342.54
  5. Step 5: Solve for x
    x = 428,342.54/613.80
  6. Step 6: Final answer
    x = 697.85

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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.