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Finding the Fourth Proportional to 778.15, 1,167.68 and 715.34

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Solution

The fourth proportional to 778.15, 1,167.68 and 715.34 is: 1,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.15 : 1,167.68 = 715.34 : x
  2. Step 2: Convert to fraction form
    778.15/1,167.68 = 715.34/x
  3. Step 3: Cross multiply
    778.15x = 1,167.68 × 715.34
  4. Step 4: Simplify right side
    778.15x = 835,288.21
  5. Step 5: Solve for x
    x = 835,288.21/778.15
  6. Step 6: Final answer
    x = 1,073.43

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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.