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Finding the Fourth Proportional to 2,878.55, 4,317.90 and 798.57

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Solution

The fourth proportional to 2,878.55, 4,317.90 and 798.57 is: 1,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.55 : 4,317.90 = 798.57 : x
  2. Step 2: Convert to fraction form
    2,878.55/4,317.90 = 798.57/x
  3. Step 3: Cross multiply
    2,878.55x = 4,317.90 × 798.57
  4. Step 4: Simplify right side
    2,878.55x = 3,448,145.40
  5. Step 5: Solve for x
    x = 3,448,145.40/2,878.55
  6. Step 6: Final answer
    x = 1,197.88

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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.