Home / 1,293.24-1,784.10-768.97

Finding the Fourth Proportional to 1,293.24, 1,784.10 and 768.97

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Solution

The fourth proportional to 1,293.24, 1,784.10 and 768.97 is: 1,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.24 : 1,784.10 = 768.97 : x
  2. Step 2: Convert to fraction form
    1,293.24/1,784.10 = 768.97/x
  3. Step 3: Cross multiply
    1,293.24x = 1,784.10 × 768.97
  4. Step 4: Simplify right side
    1,293.24x = 1,371,919.38
  5. Step 5: Solve for x
    x = 1,371,919.38/1,293.24
  6. Step 6: Final answer
    x = 1,060.84

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.