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Finding the Fourth Proportional to 941.77, 1,411.75 and 394.44

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Solution

The fourth proportional to 941.77, 1,411.75 and 394.44 is: 591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.77 : 1,411.75 = 394.44 : x
  2. Step 2: Convert to fraction form
    941.77/1,411.75 = 394.44/x
  3. Step 3: Cross multiply
    941.77x = 1,411.75 × 394.44
  4. Step 4: Simplify right side
    941.77x = 556,850.67
  5. Step 5: Solve for x
    x = 556,850.67/941.77
  6. Step 6: Final answer
    x = 591.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.