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Finding the Fourth Proportional to 411.78, 568.02 and 287.46

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Solution

The fourth proportional to 411.78, 568.02 and 287.46 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 568.02 = 287.46 : x
  2. Step 2: Convert to fraction form
    411.78/568.02 = 287.46/x
  3. Step 3: Cross multiply
    411.78x = 568.02 × 287.46
  4. Step 4: Simplify right side
    411.78x = 163,283.03
  5. Step 5: Solve for x
    x = 163,283.03/411.78
  6. Step 6: Final answer
    x = 396.53

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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.