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Finding the Fourth Proportional to 1,413.63, 2,120.36 and 865.89

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Solution

The fourth proportional to 1,413.63, 2,120.36 and 865.89 is: 1,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.63 : 2,120.36 = 865.89 : x
  2. Step 2: Convert to fraction form
    1,413.63/2,120.36 = 865.89/x
  3. Step 3: Cross multiply
    1,413.63x = 2,120.36 × 865.89
  4. Step 4: Simplify right side
    1,413.63x = 1,835,994.19
  5. Step 5: Solve for x
    x = 1,835,994.19/1,413.63
  6. Step 6: Final answer
    x = 1,298.78

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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.