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Finding the Fourth Proportional to 616.44, 849.18 and 605.88

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Solution

The fourth proportional to 616.44, 849.18 and 605.88 is: 834.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.44 : 849.18 = 605.88 : x
  2. Step 2: Convert to fraction form
    616.44/849.18 = 605.88/x
  3. Step 3: Cross multiply
    616.44x = 849.18 × 605.88
  4. Step 4: Simplify right side
    616.44x = 514,501.18
  5. Step 5: Solve for x
    x = 514,501.18/616.44
  6. Step 6: Final answer
    x = 834.63

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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.