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Finding the Fourth Proportional to 1,224.98, 1,825.79 and 1,155.79

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Solution

The fourth proportional to 1,224.98, 1,825.79 and 1,155.79 is: 1,722.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.98 : 1,825.79 = 1,155.79 : x
  2. Step 2: Convert to fraction form
    1,224.98/1,825.79 = 1,155.79/x
  3. Step 3: Cross multiply
    1,224.98x = 1,825.79 × 1,155.79
  4. Step 4: Simplify right side
    1,224.98x = 2,110,229.82
  5. Step 5: Solve for x
    x = 2,110,229.82/1,224.98
  6. Step 6: Final answer
    x = 1,722.66

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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.