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Finding the Fourth Proportional to 1,859.88, 2,789.50 and 627.16

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Solution

The fourth proportional to 1,859.88, 2,789.50 and 627.16 is: 940.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,859.88 : 2,789.50 = 627.16 : x
  2. Step 2: Convert to fraction form
    1,859.88/2,789.50 = 627.16/x
  3. Step 3: Cross multiply
    1,859.88x = 2,789.50 × 627.16
  4. Step 4: Simplify right side
    1,859.88x = 1,749,462.82
  5. Step 5: Solve for x
    x = 1,749,462.82/1,859.88
  6. Step 6: Final answer
    x = 940.63

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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.