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Finding the Fourth Proportional to 613.81, 846.85 and 365.17

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Solution

The fourth proportional to 613.81, 846.85 and 365.17 is: 503.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.81 : 846.85 = 365.17 : x
  2. Step 2: Convert to fraction form
    613.81/846.85 = 365.17/x
  3. Step 3: Cross multiply
    613.81x = 846.85 × 365.17
  4. Step 4: Simplify right side
    613.81x = 309,244.21
  5. Step 5: Solve for x
    x = 309,244.21/613.81
  6. Step 6: Final answer
    x = 503.81

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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.