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Finding the Fourth Proportional to 1,276.56, 1,760.81 and 778.82

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Solution

The fourth proportional to 1,276.56, 1,760.81 and 778.82 is: 1,074.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.56 : 1,760.81 = 778.82 : x
  2. Step 2: Convert to fraction form
    1,276.56/1,760.81 = 778.82/x
  3. Step 3: Cross multiply
    1,276.56x = 1,760.81 × 778.82
  4. Step 4: Simplify right side
    1,276.56x = 1,371,341.35
  5. Step 5: Solve for x
    x = 1,371,341.35/1,276.56
  6. Step 6: Final answer
    x = 1,074.25

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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.