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Finding the Fourth Proportional to 778.89, 1,167.95 and 486.77

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Solution

The fourth proportional to 778.89, 1,167.95 and 486.77 is: 729.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.89 : 1,167.95 = 486.77 : x
  2. Step 2: Convert to fraction form
    778.89/1,167.95 = 486.77/x
  3. Step 3: Cross multiply
    778.89x = 1,167.95 × 486.77
  4. Step 4: Simplify right side
    778.89x = 568,527.16
  5. Step 5: Solve for x
    x = 568,527.16/778.89
  6. Step 6: Final answer
    x = 729.92

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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.