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Finding the Fourth Proportional to 1,244.33, 1,717.19 and 684.85

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Solution

The fourth proportional to 1,244.33, 1,717.19 and 684.85 is: 945.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.33 : 1,717.19 = 684.85 : x
  2. Step 2: Convert to fraction form
    1,244.33/1,717.19 = 684.85/x
  3. Step 3: Cross multiply
    1,244.33x = 1,717.19 × 684.85
  4. Step 4: Simplify right side
    1,244.33x = 1,176,017.57
  5. Step 5: Solve for x
    x = 1,176,017.57/1,244.33
  6. Step 6: Final answer
    x = 945.10

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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.