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Finding the Fourth Proportional to 1,189.91, 1,784.82 and 324.23

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Solution

The fourth proportional to 1,189.91, 1,784.82 and 324.23 is: 486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.91 : 1,784.82 = 324.23 : x
  2. Step 2: Convert to fraction form
    1,189.91/1,784.82 = 324.23/x
  3. Step 3: Cross multiply
    1,189.91x = 1,784.82 × 324.23
  4. Step 4: Simplify right side
    1,189.91x = 578,685.50
  5. Step 5: Solve for x
    x = 578,685.50/1,189.91
  6. Step 6: Final answer
    x = 486.33

Related Problems

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Half scale
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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.