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Finding the Fourth Proportional to 1,257.79, 1,736.05 and 760.76

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Solution

The fourth proportional to 1,257.79, 1,736.05 and 760.76 is: 1,050.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.79 : 1,736.05 = 760.76 : x
  2. Step 2: Convert to fraction form
    1,257.79/1,736.05 = 760.76/x
  3. Step 3: Cross multiply
    1,257.79x = 1,736.05 × 760.76
  4. Step 4: Simplify right side
    1,257.79x = 1,320,708.72
  5. Step 5: Solve for x
    x = 1,320,708.72/1,257.79
  6. Step 6: Final answer
    x = 1,050.02

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Half 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.