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Finding the Fourth Proportional to 947.09, 1,413.68 and 877.60

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Solution

The fourth proportional to 947.09, 1,413.68 and 877.60 is: 1,309.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.09 : 1,413.68 = 877.60 : x
  2. Step 2: Convert to fraction form
    947.09/1,413.68 = 877.60/x
  3. Step 3: Cross multiply
    947.09x = 1,413.68 × 877.60
  4. Step 4: Simplify right side
    947.09x = 1,240,644.23
  5. Step 5: Solve for x
    x = 1,240,644.23/947.09
  6. Step 6: Final answer
    x = 1,309.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.