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Finding the Fourth Proportional to 613.60, 846.86 and 404.38

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Solution

The fourth proportional to 613.60, 846.86 and 404.38 is: 558.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.60 : 846.86 = 404.38 : x
  2. Step 2: Convert to fraction form
    613.60/846.86 = 404.38/x
  3. Step 3: Cross multiply
    613.60x = 846.86 × 404.38
  4. Step 4: Simplify right side
    613.60x = 342,453.25
  5. Step 5: Solve for x
    x = 342,453.25/613.60
  6. Step 6: Final answer
    x = 558.11

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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.