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Finding the Fourth Proportional to 1,246.76, 1,721.69 and 781.82

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Solution

The fourth proportional to 1,246.76, 1,721.69 and 781.82 is: 1,079.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.76 : 1,721.69 = 781.82 : x
  2. Step 2: Convert to fraction form
    1,246.76/1,721.69 = 781.82/x
  3. Step 3: Cross multiply
    1,246.76x = 1,721.69 × 781.82
  4. Step 4: Simplify right side
    1,246.76x = 1,346,039.16
  5. Step 5: Solve for x
    x = 1,346,039.16/1,246.76
  6. Step 6: Final answer
    x = 1,079.63

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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.