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Finding the Fourth Proportional to 518.40, 713.88 and 419.40

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Solution

The fourth proportional to 518.40, 713.88 and 419.40 is: 577.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.40 : 713.88 = 419.40 : x
  2. Step 2: Convert to fraction form
    518.40/713.88 = 419.40/x
  3. Step 3: Cross multiply
    518.40x = 713.88 × 419.40
  4. Step 4: Simplify right side
    518.40x = 299,401.27
  5. Step 5: Solve for x
    x = 299,401.27/518.40
  6. Step 6: Final answer
    x = 577.55

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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.