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Finding the Fourth Proportional to 941.09, 1,297.85 and 608.94

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Solution

The fourth proportional to 941.09, 1,297.85 and 608.94 is: 839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.09 : 1,297.85 = 608.94 : x
  2. Step 2: Convert to fraction form
    941.09/1,297.85 = 608.94/x
  3. Step 3: Cross multiply
    941.09x = 1,297.85 × 608.94
  4. Step 4: Simplify right side
    941.09x = 790,315.10
  5. Step 5: Solve for x
    x = 790,315.10/941.09
  6. Step 6: Final answer
    x = 839.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.