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Finding the Fourth Proportional to 528.35, 793.04 and 431.96

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Solution

The fourth proportional to 528.35, 793.04 and 431.96 is: 648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.35 : 793.04 = 431.96 : x
  2. Step 2: Convert to fraction form
    528.35/793.04 = 431.96/x
  3. Step 3: Cross multiply
    528.35x = 793.04 × 431.96
  4. Step 4: Simplify right side
    528.35x = 342,555.43
  5. Step 5: Solve for x
    x = 342,555.43/528.35
  6. Step 6: Final answer
    x = 648.36

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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.