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Finding the Fourth Proportional to 941.36, 1,405.78 and 931.19

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Solution

The fourth proportional to 941.36, 1,405.78 and 931.19 is: 1,390.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.36 : 1,405.78 = 931.19 : x
  2. Step 2: Convert to fraction form
    941.36/1,405.78 = 931.19/x
  3. Step 3: Cross multiply
    941.36x = 1,405.78 × 931.19
  4. Step 4: Simplify right side
    941.36x = 1,309,048.28
  5. Step 5: Solve for x
    x = 1,309,048.28/941.36
  6. Step 6: Final answer
    x = 1,390.59

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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.