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Finding the Fourth Proportional to 562.07, 842.67 and 287.97

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Solution

The fourth proportional to 562.07, 842.67 and 287.97 is: 431.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.07 : 842.67 = 287.97 : x
  2. Step 2: Convert to fraction form
    562.07/842.67 = 287.97/x
  3. Step 3: Cross multiply
    562.07x = 842.67 × 287.97
  4. Step 4: Simplify right side
    562.07x = 242,663.68
  5. Step 5: Solve for x
    x = 242,663.68/562.07
  6. Step 6: Final answer
    x = 431.74

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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.