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Finding the Fourth Proportional to 1,243.76, 1,716.38 and 684.21

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Solution

The fourth proportional to 1,243.76, 1,716.38 and 684.21 is: 944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.76 : 1,716.38 = 684.21 : x
  2. Step 2: Convert to fraction form
    1,243.76/1,716.38 = 684.21/x
  3. Step 3: Cross multiply
    1,243.76x = 1,716.38 × 684.21
  4. Step 4: Simplify right side
    1,243.76x = 1,174,360.94
  5. Step 5: Solve for x
    x = 1,174,360.94/1,243.76
  6. Step 6: Final answer
    x = 944.21

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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.