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Finding the Fourth Proportional to 1,223.92, 1,824.98 and 1,208.80

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Solution

The fourth proportional to 1,223.92, 1,824.98 and 1,208.80 is: 1,802.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.92 : 1,824.98 = 1,208.80 : x
  2. Step 2: Convert to fraction form
    1,223.92/1,824.98 = 1,208.80/x
  3. Step 3: Cross multiply
    1,223.92x = 1,824.98 × 1,208.80
  4. Step 4: Simplify right side
    1,223.92x = 2,206,035.82
  5. Step 5: Solve for x
    x = 2,206,035.82/1,223.92
  6. Step 6: Final answer
    x = 1,802.43

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.