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Finding the Fourth Proportional to 613.48, 847.77 and 465.85

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Solution

The fourth proportional to 613.48, 847.77 and 465.85 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.48 : 847.77 = 465.85 : x
  2. Step 2: Convert to fraction form
    613.48/847.77 = 465.85/x
  3. Step 3: Cross multiply
    613.48x = 847.77 × 465.85
  4. Step 4: Simplify right side
    613.48x = 394,933.65
  5. Step 5: Solve for x
    x = 394,933.65/613.48
  6. Step 6: Final answer
    x = 643.76

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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.