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Finding the Fourth Proportional to 776.38, 1,165.05 and 696.70

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Solution

The fourth proportional to 776.38, 1,165.05 and 696.70 is: 1,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.38 : 1,165.05 = 696.70 : x
  2. Step 2: Convert to fraction form
    776.38/1,165.05 = 696.70/x
  3. Step 3: Cross multiply
    776.38x = 1,165.05 × 696.70
  4. Step 4: Simplify right side
    776.38x = 811,690.34
  5. Step 5: Solve for x
    x = 811,690.34/776.38
  6. Step 6: Final answer
    x = 1,045.48

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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.