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Finding the Fourth Proportional to 2,871.00, 4,305.99 and 790.50

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Solution

The fourth proportional to 2,871.00, 4,305.99 and 790.50 is: 1,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.00 : 4,305.99 = 790.50 : x
  2. Step 2: Convert to fraction form
    2,871.00/4,305.99 = 790.50/x
  3. Step 3: Cross multiply
    2,871.00x = 4,305.99 × 790.50
  4. Step 4: Simplify right side
    2,871.00x = 3,403,874.33
  5. Step 5: Solve for x
    x = 3,403,874.33/2,871.00
  6. Step 6: Final answer
    x = 1,185.61

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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.