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Finding the Fourth Proportional to 423.86, 634.86 and 413.53

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Solution

The fourth proportional to 423.86, 634.86 and 413.53 is: 619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 634.86 = 413.53 : x
  2. Step 2: Convert to fraction form
    423.86/634.86 = 413.53/x
  3. Step 3: Cross multiply
    423.86x = 634.86 × 413.53
  4. Step 4: Simplify right side
    423.86x = 262,533.66
  5. Step 5: Solve for x
    x = 262,533.66/423.86
  6. Step 6: Final answer
    x = 619.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.