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Finding the Fourth Proportional to 1,224.78, 1,837.12 and 300.34

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Solution

The fourth proportional to 1,224.78, 1,837.12 and 300.34 is: 450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.78 : 1,837.12 = 300.34 : x
  2. Step 2: Convert to fraction form
    1,224.78/1,837.12 = 300.34/x
  3. Step 3: Cross multiply
    1,224.78x = 1,837.12 × 300.34
  4. Step 4: Simplify right side
    1,224.78x = 551,760.62
  5. Step 5: Solve for x
    x = 551,760.62/1,224.78
  6. Step 6: Final answer
    x = 450.50

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.