Home / 1,343.08-2,014.78-465.66

Finding the Fourth Proportional to 1,343.08, 2,014.78 and 465.66

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Solution

The fourth proportional to 1,343.08, 2,014.78 and 465.66 is: 698.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.08 : 2,014.78 = 465.66 : x
  2. Step 2: Convert to fraction form
    1,343.08/2,014.78 = 465.66/x
  3. Step 3: Cross multiply
    1,343.08x = 2,014.78 × 465.66
  4. Step 4: Simplify right side
    1,343.08x = 938,202.45
  5. Step 5: Solve for x
    x = 938,202.45/1,343.08
  6. Step 6: Final answer
    x = 698.55

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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.