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Finding the Fourth Proportional to 616.20, 849.78 and 459.22

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Solution

The fourth proportional to 616.20, 849.78 and 459.22 is: 633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.20 : 849.78 = 459.22 : x
  2. Step 2: Convert to fraction form
    616.20/849.78 = 459.22/x
  3. Step 3: Cross multiply
    616.20x = 849.78 × 459.22
  4. Step 4: Simplify right side
    616.20x = 390,235.97
  5. Step 5: Solve for x
    x = 390,235.97/616.20
  6. Step 6: Final answer
    x = 633.29

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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.