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Finding the Fourth Proportional to 2,255.04, 3,381.84 and 715.68

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Solution

The fourth proportional to 2,255.04, 3,381.84 and 715.68 is: 1,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.04 : 3,381.84 = 715.68 : x
  2. Step 2: Convert to fraction form
    2,255.04/3,381.84 = 715.68/x
  3. Step 3: Cross multiply
    2,255.04x = 3,381.84 × 715.68
  4. Step 4: Simplify right side
    2,255.04x = 2,420,315.25
  5. Step 5: Solve for x
    x = 2,420,315.25/2,255.04
  6. Step 6: Final answer
    x = 1,073.29

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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.