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Finding the Fourth Proportional to 562.72, 842.72 and 356.96

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Solution

The fourth proportional to 562.72, 842.72 and 356.96 is: 534.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.72 : 842.72 = 356.96 : x
  2. Step 2: Convert to fraction form
    562.72/842.72 = 356.96/x
  3. Step 3: Cross multiply
    562.72x = 842.72 × 356.96
  4. Step 4: Simplify right side
    562.72x = 300,817.33
  5. Step 5: Solve for x
    x = 300,817.33/562.72
  6. Step 6: Final answer
    x = 534.58

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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.