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Finding the Fourth Proportional to 517.96, 713.85 and 419.95

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Solution

The fourth proportional to 517.96, 713.85 and 419.95 is: 578.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.96 : 713.85 = 419.95 : x
  2. Step 2: Convert to fraction form
    517.96/713.85 = 419.95/x
  3. Step 3: Cross multiply
    517.96x = 713.85 × 419.95
  4. Step 4: Simplify right side
    517.96x = 299,781.31
  5. Step 5: Solve for x
    x = 299,781.31/517.96
  6. Step 6: Final answer
    x = 578.77

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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.