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Finding the Fourth Proportional to 718.48, 991.33 and 419.55

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Solution

The fourth proportional to 718.48, 991.33 and 419.55 is: 578.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.48 : 991.33 = 419.55 : x
  2. Step 2: Convert to fraction form
    718.48/991.33 = 419.55/x
  3. Step 3: Cross multiply
    718.48x = 991.33 × 419.55
  4. Step 4: Simplify right side
    718.48x = 415,912.50
  5. Step 5: Solve for x
    x = 415,912.50/718.48
  6. Step 6: Final answer
    x = 578.88

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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.