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Finding the Fourth Proportional to 413.60, 616.85 and 374.72

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Solution

The fourth proportional to 413.60, 616.85 and 374.72 is: 558.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.60 : 616.85 = 374.72 : x
  2. Step 2: Convert to fraction form
    413.60/616.85 = 374.72/x
  3. Step 3: Cross multiply
    413.60x = 616.85 × 374.72
  4. Step 4: Simplify right side
    413.60x = 231,146.03
  5. Step 5: Solve for x
    x = 231,146.03/413.60
  6. Step 6: Final answer
    x = 558.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.