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Finding the Fourth Proportional to 1,280.59, 1,919.26 and 622.62

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Solution

The fourth proportional to 1,280.59, 1,919.26 and 622.62 is: 933.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.59 : 1,919.26 = 622.62 : x
  2. Step 2: Convert to fraction form
    1,280.59/1,919.26 = 622.62/x
  3. Step 3: Cross multiply
    1,280.59x = 1,919.26 × 622.62
  4. Step 4: Simplify right side
    1,280.59x = 1,194,969.66
  5. Step 5: Solve for x
    x = 1,194,969.66/1,280.59
  6. Step 6: Final answer
    x = 933.14

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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.