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Finding the Fourth Proportional to 719.34, 1,076.66 and 445.65

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Solution

The fourth proportional to 719.34, 1,076.66 and 445.65 is: 667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.34 : 1,076.66 = 445.65 : x
  2. Step 2: Convert to fraction form
    719.34/1,076.66 = 445.65/x
  3. Step 3: Cross multiply
    719.34x = 1,076.66 × 445.65
  4. Step 4: Simplify right side
    719.34x = 479,813.53
  5. Step 5: Solve for x
    x = 479,813.53/719.34
  6. Step 6: Final answer
    x = 667.02

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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.