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Finding the Fourth Proportional to 518.31, 714.56 and 413.75

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Solution

The fourth proportional to 518.31, 714.56 and 413.75 is: 570.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.31 : 714.56 = 413.75 : x
  2. Step 2: Convert to fraction form
    518.31/714.56 = 413.75/x
  3. Step 3: Cross multiply
    518.31x = 714.56 × 413.75
  4. Step 4: Simplify right side
    518.31x = 295,648.92
  5. Step 5: Solve for x
    x = 295,648.92/518.31
  6. Step 6: Final answer
    x = 570.41

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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.