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Finding the Fourth Proportional to 955.26, 1,425.87 and 947.16

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Solution

The fourth proportional to 955.26, 1,425.87 and 947.16 is: 1,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.26 : 1,425.87 = 947.16 : x
  2. Step 2: Convert to fraction form
    955.26/1,425.87 = 947.16/x
  3. Step 3: Cross multiply
    955.26x = 1,425.87 × 947.16
  4. Step 4: Simplify right side
    955.26x = 1,350,527.03
  5. Step 5: Solve for x
    x = 1,350,527.03/955.26
  6. Step 6: Final answer
    x = 1,413.78

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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.