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Finding the Fourth Proportional to 778.79, 1,169.33 and 487.54

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Solution

The fourth proportional to 778.79, 1,169.33 and 487.54 is: 732.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.79 : 1,169.33 = 487.54 : x
  2. Step 2: Convert to fraction form
    778.79/1,169.33 = 487.54/x
  3. Step 3: Cross multiply
    778.79x = 1,169.33 × 487.54
  4. Step 4: Simplify right side
    778.79x = 570,095.15
  5. Step 5: Solve for x
    x = 570,095.15/778.79
  6. Step 6: Final answer
    x = 732.03

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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.