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Finding the Fourth Proportional to 1,760.70, 2,641.86 and 786.69

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Solution

The fourth proportional to 1,760.70, 2,641.86 and 786.69 is: 1,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.70 : 2,641.86 = 786.69 : x
  2. Step 2: Convert to fraction form
    1,760.70/2,641.86 = 786.69/x
  3. Step 3: Cross multiply
    1,760.70x = 2,641.86 × 786.69
  4. Step 4: Simplify right side
    1,760.70x = 2,078,324.84
  5. Step 5: Solve for x
    x = 2,078,324.84/1,760.70
  6. Step 6: Final answer
    x = 1,180.40

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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.