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Finding the Fourth Proportional to 619.74, 928.64 and 413.54

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Solution

The fourth proportional to 619.74, 928.64 and 413.54 is: 619.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.74 : 928.64 = 413.54 : x
  2. Step 2: Convert to fraction form
    619.74/928.64 = 413.54/x
  3. Step 3: Cross multiply
    619.74x = 928.64 × 413.54
  4. Step 4: Simplify right side
    619.74x = 384,029.79
  5. Step 5: Solve for x
    x = 384,029.79/619.74
  6. Step 6: Final answer
    x = 619.66

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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.