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Finding the Fourth Proportional to 718.74, 991.86 and 408.24

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Solution

The fourth proportional to 718.74, 991.86 and 408.24 is: 563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.74 : 991.86 = 408.24 : x
  2. Step 2: Convert to fraction form
    718.74/991.86 = 408.24/x
  3. Step 3: Cross multiply
    718.74x = 991.86 × 408.24
  4. Step 4: Simplify right side
    718.74x = 404,915.40
  5. Step 5: Solve for x
    x = 404,915.40/718.74
  6. Step 6: Final answer
    x = 563.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.