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Finding the Fourth Proportional to 1,572.72, 2,359.09 and 418.47

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Solution

The fourth proportional to 1,572.72, 2,359.09 and 418.47 is: 627.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.72 : 2,359.09 = 418.47 : x
  2. Step 2: Convert to fraction form
    1,572.72/2,359.09 = 418.47/x
  3. Step 3: Cross multiply
    1,572.72x = 2,359.09 × 418.47
  4. Step 4: Simplify right side
    1,572.72x = 987,213.24
  5. Step 5: Solve for x
    x = 987,213.24/1,572.72
  6. Step 6: Final answer
    x = 627.71

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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.