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Finding the Fourth Proportional to 1,229.24, 1,843.86 and 498.33

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Solution

The fourth proportional to 1,229.24, 1,843.86 and 498.33 is: 747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.24 : 1,843.86 = 498.33 : x
  2. Step 2: Convert to fraction form
    1,229.24/1,843.86 = 498.33/x
  3. Step 3: Cross multiply
    1,229.24x = 1,843.86 × 498.33
  4. Step 4: Simplify right side
    1,229.24x = 918,850.75
  5. Step 5: Solve for x
    x = 918,850.75/1,229.24
  6. Step 6: Final answer
    x = 747.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 1,230.24, 1,845.36 and 499.33
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.