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Finding the Fourth Proportional to 719.57, 1,079.35 and 206.57

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Solution

The fourth proportional to 719.57, 1,079.35 and 206.57 is: 309.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.57 : 1,079.35 = 206.57 : x
  2. Step 2: Convert to fraction form
    719.57/1,079.35 = 206.57/x
  3. Step 3: Cross multiply
    719.57x = 1,079.35 × 206.57
  4. Step 4: Simplify right side
    719.57x = 222,955.93
  5. Step 5: Solve for x
    x = 222,955.93/719.57
  6. Step 6: Final answer
    x = 309.85

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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.