Home / 1,224.10-1,837.20-494.20

Finding the Fourth Proportional to 1,224.10, 1,837.20 and 494.20

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Solution

The fourth proportional to 1,224.10, 1,837.20 and 494.20 is: 741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.10 : 1,837.20 = 494.20 : x
  2. Step 2: Convert to fraction form
    1,224.10/1,837.20 = 494.20/x
  3. Step 3: Cross multiply
    1,224.10x = 1,837.20 × 494.20
  4. Step 4: Simplify right side
    1,224.10x = 907,944.24
  5. Step 5: Solve for x
    x = 907,944.24/1,224.10
  6. Step 6: Final answer
    x = 741.72

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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.