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Finding the Fourth Proportional to 779.49, 1,165.59 and 768.56

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Solution

The fourth proportional to 779.49, 1,165.59 and 768.56 is: 1,149.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.49 : 1,165.59 = 768.56 : x
  2. Step 2: Convert to fraction form
    779.49/1,165.59 = 768.56/x
  3. Step 3: Cross multiply
    779.49x = 1,165.59 × 768.56
  4. Step 4: Simplify right side
    779.49x = 895,820.02
  5. Step 5: Solve for x
    x = 895,820.02/779.49
  6. Step 6: Final answer
    x = 1,149.24

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Double scale
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1.5x scale

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.