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Finding the Fourth Proportional to 1,216.13, 1,678.20 and 685.09

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Solution

The fourth proportional to 1,216.13, 1,678.20 and 685.09 is: 945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.13 : 1,678.20 = 685.09 : x
  2. Step 2: Convert to fraction form
    1,216.13/1,678.20 = 685.09/x
  3. Step 3: Cross multiply
    1,216.13x = 1,678.20 × 685.09
  4. Step 4: Simplify right side
    1,216.13x = 1,149,717.57
  5. Step 5: Solve for x
    x = 1,149,717.57/1,216.13
  6. Step 6: Final answer
    x = 945.39

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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.