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Finding the Fourth Proportional to 2,275.81, 3,413.55 and 609.80

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Solution

The fourth proportional to 2,275.81, 3,413.55 and 609.80 is: 914.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,275.81 : 3,413.55 = 609.80 : x
  2. Step 2: Convert to fraction form
    2,275.81/3,413.55 = 609.80/x
  3. Step 3: Cross multiply
    2,275.81x = 3,413.55 × 609.80
  4. Step 4: Simplify right side
    2,275.81x = 2,081,582.79
  5. Step 5: Solve for x
    x = 2,081,582.79/2,275.81
  6. Step 6: Final answer
    x = 914.66

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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.