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Finding the Fourth Proportional to 778.13, 1,161.19 and 694.98

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Solution

The fourth proportional to 778.13, 1,161.19 and 694.98 is: 1,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.13 : 1,161.19 = 694.98 : x
  2. Step 2: Convert to fraction form
    778.13/1,161.19 = 694.98/x
  3. Step 3: Cross multiply
    778.13x = 1,161.19 × 694.98
  4. Step 4: Simplify right side
    778.13x = 807,000.79
  5. Step 5: Solve for x
    x = 807,000.79/778.13
  6. Step 6: Final answer
    x = 1,037.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.