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Finding the Fourth Proportional to 563.22, 842.30 and 431.48

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Solution

The fourth proportional to 563.22, 842.30 and 431.48 is: 645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.22 : 842.30 = 431.48 : x
  2. Step 2: Convert to fraction form
    563.22/842.30 = 431.48/x
  3. Step 3: Cross multiply
    563.22x = 842.30 × 431.48
  4. Step 4: Simplify right side
    563.22x = 363,435.60
  5. Step 5: Solve for x
    x = 363,435.60/563.22
  6. Step 6: Final answer
    x = 645.28

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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.