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Finding the Fourth Proportional to 795.69, 1,191.81 and 486.61

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Solution

The fourth proportional to 795.69, 1,191.81 and 486.61 is: 728.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.69 : 1,191.81 = 486.61 : x
  2. Step 2: Convert to fraction form
    795.69/1,191.81 = 486.61/x
  3. Step 3: Cross multiply
    795.69x = 1,191.81 × 486.61
  4. Step 4: Simplify right side
    795.69x = 579,945.51
  5. Step 5: Solve for x
    x = 579,945.51/795.69
  6. Step 6: Final answer
    x = 728.86

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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.