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Finding the Fourth Proportional to 616.25, 849.20 and 608.58

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Solution

The fourth proportional to 616.25, 849.20 and 608.58 is: 838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.25 : 849.20 = 608.58 : x
  2. Step 2: Convert to fraction form
    616.25/849.20 = 608.58/x
  3. Step 3: Cross multiply
    616.25x = 849.20 × 608.58
  4. Step 4: Simplify right side
    616.25x = 516,803.09
  5. Step 5: Solve for x
    x = 516,803.09/616.25
  6. Step 6: Final answer
    x = 838.63

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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.