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Finding the Fourth Proportional to 1,483.08, 2,224.74 and 387.43

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Solution

The fourth proportional to 1,483.08, 2,224.74 and 387.43 is: 581.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.08 : 2,224.74 = 387.43 : x
  2. Step 2: Convert to fraction form
    1,483.08/2,224.74 = 387.43/x
  3. Step 3: Cross multiply
    1,483.08x = 2,224.74 × 387.43
  4. Step 4: Simplify right side
    1,483.08x = 861,938.33
  5. Step 5: Solve for x
    x = 861,938.33/1,483.08
  6. Step 6: Final answer
    x = 581.18

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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.