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Finding the Fourth Proportional to 613.49, 847.77 and 465.86

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Solution

The fourth proportional to 613.49, 847.77 and 465.86 is: 643.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.49 : 847.77 = 465.86 : x
  2. Step 2: Convert to fraction form
    613.49/847.77 = 465.86/x
  3. Step 3: Cross multiply
    613.49x = 847.77 × 465.86
  4. Step 4: Simplify right side
    613.49x = 394,942.13
  5. Step 5: Solve for x
    x = 394,942.13/613.49
  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.