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Finding the Fourth Proportional to 1,413.06, 1,948.23 and 946.50

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Solution

The fourth proportional to 1,413.06, 1,948.23 and 946.50 is: 1,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.06 : 1,948.23 = 946.50 : x
  2. Step 2: Convert to fraction form
    1,413.06/1,948.23 = 946.50/x
  3. Step 3: Cross multiply
    1,413.06x = 1,948.23 × 946.50
  4. Step 4: Simplify right side
    1,413.06x = 1,843,999.70
  5. Step 5: Solve for x
    x = 1,843,999.70/1,413.06
  6. Step 6: Final answer
    x = 1,304.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.