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Finding the Fourth Proportional to 3,255.88, 4,883.81 and 790.72

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Solution

The fourth proportional to 3,255.88, 4,883.81 and 790.72 is: 1,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,255.88 : 4,883.81 = 790.72 : x
  2. Step 2: Convert to fraction form
    3,255.88/4,883.81 = 790.72/x
  3. Step 3: Cross multiply
    3,255.88x = 4,883.81 × 790.72
  4. Step 4: Simplify right side
    3,255.88x = 3,861,726.24
  5. Step 5: Solve for x
    x = 3,861,726.24/3,255.88
  6. Step 6: Final answer
    x = 1,186.08

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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.