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Finding the Fourth Proportional to 1,413.42, 1,950.62 and 783.98

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Solution

The fourth proportional to 1,413.42, 1,950.62 and 783.98 is: 1,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.42 : 1,950.62 = 783.98 : x
  2. Step 2: Convert to fraction form
    1,413.42/1,950.62 = 783.98/x
  3. Step 3: Cross multiply
    1,413.42x = 1,950.62 × 783.98
  4. Step 4: Simplify right side
    1,413.42x = 1,529,233.39
  5. Step 5: Solve for x
    x = 1,529,233.39/1,413.42
  6. Step 6: Final answer
    x = 1,081.94

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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.