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Finding the Fourth Proportional to 562.23, 842.81 and 287.72

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Solution

The fourth proportional to 562.23, 842.81 and 287.72 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.23 : 842.81 = 287.72 : x
  2. Step 2: Convert to fraction form
    562.23/842.81 = 287.72/x
  3. Step 3: Cross multiply
    562.23x = 842.81 × 287.72
  4. Step 4: Simplify right side
    562.23x = 242,489.80
  5. Step 5: Solve for x
    x = 242,489.80/562.23
  6. Step 6: Final answer
    x = 431.30

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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.