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Finding the Fourth Proportional to 795.96, 1,196.72 and 431.48

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Solution

The fourth proportional to 795.96, 1,196.72 and 431.48 is: 648.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.96 : 1,196.72 = 431.48 : x
  2. Step 2: Convert to fraction form
    795.96/1,196.72 = 431.48/x
  3. Step 3: Cross multiply
    795.96x = 1,196.72 × 431.48
  4. Step 4: Simplify right side
    795.96x = 516,360.75
  5. Step 5: Solve for x
    x = 516,360.75/795.96
  6. Step 6: Final answer
    x = 648.73

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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.