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Finding the Fourth Proportional to 616.29, 850.49 and 336.53

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Solution

The fourth proportional to 616.29, 850.49 and 336.53 is: 464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.29 : 850.49 = 336.53 : x
  2. Step 2: Convert to fraction form
    616.29/850.49 = 336.53/x
  3. Step 3: Cross multiply
    616.29x = 850.49 × 336.53
  4. Step 4: Simplify right side
    616.29x = 286,215.40
  5. Step 5: Solve for x
    x = 286,215.40/616.29
  6. Step 6: Final answer
    x = 464.42

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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.