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Finding the Fourth Proportional to 955.09, 1,424.86 and 942.80

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Solution

The fourth proportional to 955.09, 1,424.86 and 942.80 is: 1,406.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.09 : 1,424.86 = 942.80 : x
  2. Step 2: Convert to fraction form
    955.09/1,424.86 = 942.80/x
  3. Step 3: Cross multiply
    955.09x = 1,424.86 × 942.80
  4. Step 4: Simplify right side
    955.09x = 1,343,358.01
  5. Step 5: Solve for x
    x = 1,343,358.01/955.09
  6. Step 6: Final answer
    x = 1,406.53

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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.