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Finding the Fourth Proportional to 795.72, 1,191.96 and 486.84

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Solution

The fourth proportional to 795.72, 1,191.96 and 486.84 is: 729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.72 : 1,191.96 = 486.84 : x
  2. Step 2: Convert to fraction form
    795.72/1,191.96 = 486.84/x
  3. Step 3: Cross multiply
    795.72x = 1,191.96 × 486.84
  4. Step 4: Simplify right side
    795.72x = 580,293.81
  5. Step 5: Solve for x
    x = 580,293.81/795.72
  6. Step 6: Final answer
    x = 729.27

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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.