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Finding the Fourth Proportional to 1,080.63, 1,491.71 and 726.76

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Solution

The fourth proportional to 1,080.63, 1,491.71 and 726.76 is: 1,003.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.63 : 1,491.71 = 726.76 : x
  2. Step 2: Convert to fraction form
    1,080.63/1,491.71 = 726.76/x
  3. Step 3: Cross multiply
    1,080.63x = 1,491.71 × 726.76
  4. Step 4: Simplify right side
    1,080.63x = 1,084,115.16
  5. Step 5: Solve for x
    x = 1,084,115.16/1,080.63
  6. Step 6: Final answer
    x = 1,003.23

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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.