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Finding the Fourth Proportional to 411.61, 566.88 and 380.83

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Solution

The fourth proportional to 411.61, 566.88 and 380.83 is: 524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.61 : 566.88 = 380.83 : x
  2. Step 2: Convert to fraction form
    411.61/566.88 = 380.83/x
  3. Step 3: Cross multiply
    411.61x = 566.88 × 380.83
  4. Step 4: Simplify right side
    411.61x = 215,883.96
  5. Step 5: Solve for x
    x = 215,883.96/411.61
  6. Step 6: Final answer
    x = 524.49

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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.