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Finding the Fourth Proportional to 613.25, 846.02 and 403.16

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Solution

The fourth proportional to 613.25, 846.02 and 403.16 is: 556.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.25 : 846.02 = 403.16 : x
  2. Step 2: Convert to fraction form
    613.25/846.02 = 403.16/x
  3. Step 3: Cross multiply
    613.25x = 846.02 × 403.16
  4. Step 4: Simplify right side
    613.25x = 341,078.30
  5. Step 5: Solve for x
    x = 341,078.30/613.25
  6. Step 6: Final answer
    x = 556.18

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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.