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Finding the Fourth Proportional to 411, 566.82 and 312.84

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Solution

The fourth proportional to 411, 566.82 and 312.84 is: 431.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411 : 566.82 = 312.84 : x
  2. Step 2: Convert to fraction form
    411/566.82 = 312.84/x
  3. Step 3: Cross multiply
    411x = 566.82 × 312.84
  4. Step 4: Simplify right side
    411x = 177,323.97
  5. Step 5: Solve for x
    x = 177,323.97/411
  6. Step 6: Final answer
    x = 431.45

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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.