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Finding the Fourth Proportional to 562.58, 843.44 and 464.78

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Solution

The fourth proportional to 562.58, 843.44 and 464.78 is: 696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.58 : 843.44 = 464.78 : x
  2. Step 2: Convert to fraction form
    562.58/843.44 = 464.78/x
  3. Step 3: Cross multiply
    562.58x = 843.44 × 464.78
  4. Step 4: Simplify right side
    562.58x = 392,014.04
  5. Step 5: Solve for x
    x = 392,014.04/562.58
  6. Step 6: Final answer
    x = 696.81

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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.