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Finding the Fourth Proportional to 562.53, 845.73 and 442.25

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Solution

The fourth proportional to 562.53, 845.73 and 442.25 is: 664.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.53 : 845.73 = 442.25 : x
  2. Step 2: Convert to fraction form
    562.53/845.73 = 442.25/x
  3. Step 3: Cross multiply
    562.53x = 845.73 × 442.25
  4. Step 4: Simplify right side
    562.53x = 374,024.09
  5. Step 5: Solve for x
    x = 374,024.09/562.53
  6. Step 6: Final answer
    x = 664.90

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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.