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Finding the Fourth Proportional to 562.75, 842.87 and 254.14

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Solution

The fourth proportional to 562.75, 842.87 and 254.14 is: 380.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.75 : 842.87 = 254.14 : x
  2. Step 2: Convert to fraction form
    562.75/842.87 = 254.14/x
  3. Step 3: Cross multiply
    562.75x = 842.87 × 254.14
  4. Step 4: Simplify right side
    562.75x = 214,205.51
  5. Step 5: Solve for x
    x = 214,205.51/562.75
  6. Step 6: Final answer
    x = 380.64

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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.