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Finding the Fourth Proportional to 1,413.61, 2,121 and 763.58

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Solution

The fourth proportional to 1,413.61, 2,121 and 763.58 is: 1,145.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.61 : 2,121 = 763.58 : x
  2. Step 2: Convert to fraction form
    1,413.61/2,121 = 763.58/x
  3. Step 3: Cross multiply
    1,413.61x = 2,121 × 763.58
  4. Step 4: Simplify right side
    1,413.61x = 1,619,553.18
  5. Step 5: Solve for x
    x = 1,619,553.18/1,413.61
  6. Step 6: Final answer
    x = 1,145.69

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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.