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Finding the Fourth Proportional to 769.86, 1,155.03 and 708.78

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Solution

The fourth proportional to 769.86, 1,155.03 and 708.78 is: 1,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.86 : 1,155.03 = 708.78 : x
  2. Step 2: Convert to fraction form
    769.86/1,155.03 = 708.78/x
  3. Step 3: Cross multiply
    769.86x = 1,155.03 × 708.78
  4. Step 4: Simplify right side
    769.86x = 818,662.16
  5. Step 5: Solve for x
    x = 818,662.16/769.86
  6. Step 6: Final answer
    x = 1,063.39

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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.