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Finding the Fourth Proportional to 719.44, 1,079.02 and 199.32

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Solution

The fourth proportional to 719.44, 1,079.02 and 199.32 is: 298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.44 : 1,079.02 = 199.32 : x
  2. Step 2: Convert to fraction form
    719.44/1,079.02 = 199.32/x
  3. Step 3: Cross multiply
    719.44x = 1,079.02 × 199.32
  4. Step 4: Simplify right side
    719.44x = 215,070.27
  5. Step 5: Solve for x
    x = 215,070.27/719.44
  6. Step 6: Final answer
    x = 298.94

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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.