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Finding the Fourth Proportional to 2,264.25, 3,395.99 and 620.43

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Solution

The fourth proportional to 2,264.25, 3,395.99 and 620.43 is: 930.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264.25 : 3,395.99 = 620.43 : x
  2. Step 2: Convert to fraction form
    2,264.25/3,395.99 = 620.43/x
  3. Step 3: Cross multiply
    2,264.25x = 3,395.99 × 620.43
  4. Step 4: Simplify right side
    2,264.25x = 2,106,962.89
  5. Step 5: Solve for x
    x = 2,106,962.89/2,264.25
  6. Step 6: Final answer
    x = 930.53

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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.