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Finding the Fourth Proportional to 2,480.31, 3,722.26 and 920.53

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Solution

The fourth proportional to 2,480.31, 3,722.26 and 920.53 is: 1,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,480.31 : 3,722.26 = 920.53 : x
  2. Step 2: Convert to fraction form
    2,480.31/3,722.26 = 920.53/x
  3. Step 3: Cross multiply
    2,480.31x = 3,722.26 × 920.53
  4. Step 4: Simplify right side
    2,480.31x = 3,426,454.35
  5. Step 5: Solve for x
    x = 3,426,454.35/2,480.31
  6. Step 6: Final answer
    x = 1,381.46

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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.