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Finding the Fourth Proportional to 517.35, 714.93 and 419.61

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Solution

The fourth proportional to 517.35, 714.93 and 419.61 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.35 : 714.93 = 419.61 : x
  2. Step 2: Convert to fraction form
    517.35/714.93 = 419.61/x
  3. Step 3: Cross multiply
    517.35x = 714.93 × 419.61
  4. Step 4: Simplify right side
    517.35x = 299,991.78
  5. Step 5: Solve for x
    x = 299,991.78/517.35
  6. Step 6: Final answer
    x = 579.86

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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.