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Finding the Fourth Proportional to 518.28, 713.94 and 419.76

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Solution

The fourth proportional to 518.28, 713.94 and 419.76 is: 578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.28 : 713.94 = 419.76 : x
  2. Step 2: Convert to fraction form
    518.28/713.94 = 419.76/x
  3. Step 3: Cross multiply
    518.28x = 713.94 × 419.76
  4. Step 4: Simplify right side
    518.28x = 299,683.45
  5. Step 5: Solve for x
    x = 299,683.45/518.28
  6. Step 6: Final answer
    x = 578.23

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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.