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Finding the Fourth Proportional to 1,224.81, 1,837.44 and 403.11

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Solution

The fourth proportional to 1,224.81, 1,837.44 and 403.11 is: 604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.81 : 1,837.44 = 403.11 : x
  2. Step 2: Convert to fraction form
    1,224.81/1,837.44 = 403.11/x
  3. Step 3: Cross multiply
    1,224.81x = 1,837.44 × 403.11
  4. Step 4: Simplify right side
    1,224.81x = 740,693.02
  5. Step 5: Solve for x
    x = 740,693.02/1,224.81
  6. Step 6: Final answer
    x = 604.74

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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.