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Finding the Fourth Proportional to 517.92, 714.60 and 419.49

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Solution

The fourth proportional to 517.92, 714.60 and 419.49 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.92 : 714.60 = 419.49 : x
  2. Step 2: Convert to fraction form
    517.92/714.60 = 419.49/x
  3. Step 3: Cross multiply
    517.92x = 714.60 × 419.49
  4. Step 4: Simplify right side
    517.92x = 299,767.55
  5. Step 5: Solve for x
    x = 299,767.55/517.92
  6. Step 6: Final answer
    x = 578.79

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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.