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Finding the Fourth Proportional to 1,413.93, 2,121.54 and 633.87

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Solution

The fourth proportional to 1,413.93, 2,121.54 and 633.87 is: 951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.93 : 2,121.54 = 633.87 : x
  2. Step 2: Convert to fraction form
    1,413.93/2,121.54 = 633.87/x
  3. Step 3: Cross multiply
    1,413.93x = 2,121.54 × 633.87
  4. Step 4: Simplify right side
    1,413.93x = 1,344,780.56
  5. Step 5: Solve for x
    x = 1,344,780.56/1,413.93
  6. Step 6: Final answer
    x = 951.09

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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.