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Finding the Fourth Proportional to 616.36, 850.70 and 403.30

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Solution

The fourth proportional to 616.36, 850.70 and 403.30 is: 556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.36 : 850.70 = 403.30 : x
  2. Step 2: Convert to fraction form
    616.36/850.70 = 403.30/x
  3. Step 3: Cross multiply
    616.36x = 850.70 × 403.30
  4. Step 4: Simplify right side
    616.36x = 343,087.31
  5. Step 5: Solve for x
    x = 343,087.31/616.36
  6. Step 6: Final answer
    x = 556.63

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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.