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Finding the Fourth Proportional to 2,279.15, 3,419.19 and 719.40

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Solution

The fourth proportional to 2,279.15, 3,419.19 and 719.40 is: 1,079.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.15 : 3,419.19 = 719.40 : x
  2. Step 2: Convert to fraction form
    2,279.15/3,419.19 = 719.40/x
  3. Step 3: Cross multiply
    2,279.15x = 3,419.19 × 719.40
  4. Step 4: Simplify right side
    2,279.15x = 2,459,744.59
  5. Step 5: Solve for x
    x = 2,459,744.59/2,279.15
  6. Step 6: Final answer
    x = 1,079.24

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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.