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Finding the Fourth Proportional to 1,249.01, 1,873.52 and 324.50

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Solution

The fourth proportional to 1,249.01, 1,873.52 and 324.50 is: 486.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.01 : 1,873.52 = 324.50 : x
  2. Step 2: Convert to fraction form
    1,249.01/1,873.52 = 324.50/x
  3. Step 3: Cross multiply
    1,249.01x = 1,873.52 × 324.50
  4. Step 4: Simplify right side
    1,249.01x = 607,947.47
  5. Step 5: Solve for x
    x = 607,947.47/1,249.01
  6. Step 6: Final answer
    x = 486.74

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Double scale
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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.