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Finding the Fourth Proportional to 447.78, 616.52 and 406.77

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Solution

The fourth proportional to 447.78, 616.52 and 406.77 is: 560.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.78 : 616.52 = 406.77 : x
  2. Step 2: Convert to fraction form
    447.78/616.52 = 406.77/x
  3. Step 3: Cross multiply
    447.78x = 616.52 × 406.77
  4. Step 4: Simplify right side
    447.78x = 250,781.84
  5. Step 5: Solve for x
    x = 250,781.84/447.78
  6. Step 6: Final answer
    x = 560.06

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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.