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Finding the Fourth Proportional to 616.02, 849.91 and 405.86

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Solution

The fourth proportional to 616.02, 849.91 and 405.86 is: 559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 849.91 = 405.86 : x
  2. Step 2: Convert to fraction form
    616.02/849.91 = 405.86/x
  3. Step 3: Cross multiply
    616.02x = 849.91 × 405.86
  4. Step 4: Simplify right side
    616.02x = 344,944.47
  5. Step 5: Solve for x
    x = 344,944.47/616.02
  6. Step 6: Final answer
    x = 559.96

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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.