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Finding the Fourth Proportional to 1,343.86, 2,015.04 and 466.12

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Solution

The fourth proportional to 1,343.86, 2,015.04 and 466.12 is: 698.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.86 : 2,015.04 = 466.12 : x
  2. Step 2: Convert to fraction form
    1,343.86/2,015.04 = 466.12/x
  3. Step 3: Cross multiply
    1,343.86x = 2,015.04 × 466.12
  4. Step 4: Simplify right side
    1,343.86x = 939,250.44
  5. Step 5: Solve for x
    x = 939,250.44/1,343.86
  6. Step 6: Final answer
    x = 698.92

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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.