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Finding the Fourth Proportional to 2,199.76, 3,300.02 and 719.28

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Solution

The fourth proportional to 2,199.76, 3,300.02 and 719.28 is: 1,079.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.76 : 3,300.02 = 719.28 : x
  2. Step 2: Convert to fraction form
    2,199.76/3,300.02 = 719.28/x
  3. Step 3: Cross multiply
    2,199.76x = 3,300.02 × 719.28
  4. Step 4: Simplify right side
    2,199.76x = 2,373,635.46
  5. Step 5: Solve for x
    x = 2,373,635.46/2,199.76
  6. Step 6: Final answer
    x = 1,079.04

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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.