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Finding the Fourth Proportional to 537.95, 742.15 and 413.39

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Solution

The fourth proportional to 537.95, 742.15 and 413.39 is: 570.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.95 : 742.15 = 413.39 : x
  2. Step 2: Convert to fraction form
    537.95/742.15 = 413.39/x
  3. Step 3: Cross multiply
    537.95x = 742.15 × 413.39
  4. Step 4: Simplify right side
    537.95x = 306,797.39
  5. Step 5: Solve for x
    x = 306,797.39/537.95
  6. Step 6: Final answer
    x = 570.31

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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.