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Finding the Fourth Proportional to 613.37, 846.63 and 403.71

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Solution

The fourth proportional to 613.37, 846.63 and 403.71 is: 557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.37 : 846.63 = 403.71 : x
  2. Step 2: Convert to fraction form
    613.37/846.63 = 403.71/x
  3. Step 3: Cross multiply
    613.37x = 846.63 × 403.71
  4. Step 4: Simplify right side
    613.37x = 341,791.07
  5. Step 5: Solve for x
    x = 341,791.07/613.37
  6. Step 6: Final answer
    x = 557.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.