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Finding the Fourth Proportional to 1,413.64, 2,120.52 and 865.48

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Solution

The fourth proportional to 1,413.64, 2,120.52 and 865.48 is: 1,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.64 : 2,120.52 = 865.48 : x
  2. Step 2: Convert to fraction form
    1,413.64/2,120.52 = 865.48/x
  3. Step 3: Cross multiply
    1,413.64x = 2,120.52 × 865.48
  4. Step 4: Simplify right side
    1,413.64x = 1,835,267.65
  5. Step 5: Solve for x
    x = 1,835,267.65/1,413.64
  6. Step 6: Final answer
    x = 1,298.26

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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.