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Finding the Fourth Proportional to 2,342.95, 3,515.07 and 699.55

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Solution

The fourth proportional to 2,342.95, 3,515.07 and 699.55 is: 1,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,342.95 : 3,515.07 = 699.55 : x
  2. Step 2: Convert to fraction form
    2,342.95/3,515.07 = 699.55/x
  3. Step 3: Cross multiply
    2,342.95x = 3,515.07 × 699.55
  4. Step 4: Simplify right side
    2,342.95x = 2,458,967.22
  5. Step 5: Solve for x
    x = 2,458,967.22/2,342.95
  6. Step 6: Final answer
    x = 1,049.52

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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.