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Finding the Fourth Proportional to 718.24, 1,078.73 and 446.23

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Solution

The fourth proportional to 718.24, 1,078.73 and 446.23 is: 670.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.24 : 1,078.73 = 446.23 : x
  2. Step 2: Convert to fraction form
    718.24/1,078.73 = 446.23/x
  3. Step 3: Cross multiply
    718.24x = 1,078.73 × 446.23
  4. Step 4: Simplify right side
    718.24x = 481,361.69
  5. Step 5: Solve for x
    x = 481,361.69/718.24
  6. Step 6: Final answer
    x = 670.20

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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.