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Finding the Fourth Proportional to 778.06, 1,165.26 and 614.65

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Solution

The fourth proportional to 778.06, 1,165.26 and 614.65 is: 920.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.06 : 1,165.26 = 614.65 : x
  2. Step 2: Convert to fraction form
    778.06/1,165.26 = 614.65/x
  3. Step 3: Cross multiply
    778.06x = 1,165.26 × 614.65
  4. Step 4: Simplify right side
    778.06x = 716,227.06
  5. Step 5: Solve for x
    x = 716,227.06/778.06
  6. Step 6: Final answer
    x = 920.53

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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.