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Finding the Fourth Proportional to 1,243.68, 1,716.28 and 684.13

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Solution

The fourth proportional to 1,243.68, 1,716.28 and 684.13 is: 944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.68 : 1,716.28 = 684.13 : x
  2. Step 2: Convert to fraction form
    1,243.68/1,716.28 = 684.13/x
  3. Step 3: Cross multiply
    1,243.68x = 1,716.28 × 684.13
  4. Step 4: Simplify right side
    1,243.68x = 1,174,150.06
  5. Step 5: Solve for x
    x = 1,174,150.06/1,243.68
  6. Step 6: Final answer
    x = 944.10

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Half scale
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Double scale
Find fourth proportional to 1,244.68, 1,717.66 and 685.13
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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.