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Finding the Fourth Proportional to 719.72, 1,079.52 and 206.72

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Solution

The fourth proportional to 719.72, 1,079.52 and 206.72 is: 310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.72 : 1,079.52 = 206.72 : x
  2. Step 2: Convert to fraction form
    719.72/1,079.52 = 206.72/x
  3. Step 3: Cross multiply
    719.72x = 1,079.52 × 206.72
  4. Step 4: Simplify right side
    719.72x = 223,158.37
  5. Step 5: Solve for x
    x = 223,158.37/719.72
  6. Step 6: Final answer
    x = 310.06

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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.