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Finding the Fourth Proportional to 411.56, 567.64 and 287.44

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Solution

The fourth proportional to 411.56, 567.64 and 287.44 is: 396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.56 : 567.64 = 287.44 : x
  2. Step 2: Convert to fraction form
    411.56/567.64 = 287.44/x
  3. Step 3: Cross multiply
    411.56x = 567.64 × 287.44
  4. Step 4: Simplify right side
    411.56x = 163,162.44
  5. Step 5: Solve for x
    x = 163,162.44/411.56
  6. Step 6: Final answer
    x = 396.45

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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.