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Finding the Fourth Proportional to 411.86, 616.34 and 388.47

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Solution

The fourth proportional to 411.86, 616.34 and 388.47 is: 581.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.86 : 616.34 = 388.47 : x
  2. Step 2: Convert to fraction form
    411.86/616.34 = 388.47/x
  3. Step 3: Cross multiply
    411.86x = 616.34 × 388.47
  4. Step 4: Simplify right side
    411.86x = 239,429.60
  5. Step 5: Solve for x
    x = 239,429.60/411.86
  6. Step 6: Final answer
    x = 581.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.