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Finding the Fourth Proportional to 613.14, 845.34 and 471.49

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Solution

The fourth proportional to 613.14, 845.34 and 471.49 is: 650.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.14 : 845.34 = 471.49 : x
  2. Step 2: Convert to fraction form
    613.14/845.34 = 471.49/x
  3. Step 3: Cross multiply
    613.14x = 845.34 × 471.49
  4. Step 4: Simplify right side
    613.14x = 398,569.36
  5. Step 5: Solve for x
    x = 398,569.36/613.14
  6. Step 6: Final answer
    x = 650.05

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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.