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Finding the Fourth Proportional to 941.74, 1,299.98 and 610.44

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Solution

The fourth proportional to 941.74, 1,299.98 and 610.44 is: 842.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.74 : 1,299.98 = 610.44 : x
  2. Step 2: Convert to fraction form
    941.74/1,299.98 = 610.44/x
  3. Step 3: Cross multiply
    941.74x = 1,299.98 × 610.44
  4. Step 4: Simplify right side
    941.74x = 793,559.79
  5. Step 5: Solve for x
    x = 793,559.79/941.74
  6. Step 6: Final answer
    x = 842.65

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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.