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Finding the Fourth Proportional to 1,413.06, 2,119.80 and 488.89

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Solution

The fourth proportional to 1,413.06, 2,119.80 and 488.89 is: 733.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.06 : 2,119.80 = 488.89 : x
  2. Step 2: Convert to fraction form
    1,413.06/2,119.80 = 488.89/x
  3. Step 3: Cross multiply
    1,413.06x = 2,119.80 × 488.89
  4. Step 4: Simplify right side
    1,413.06x = 1,036,337.46
  5. Step 5: Solve for x
    x = 1,036,337.46/1,413.06
  6. Step 6: Final answer
    x = 733.40

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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.