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Finding the Fourth Proportional to 941.54, 1,302.82 and 817.61

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Solution

The fourth proportional to 941.54, 1,302.82 and 817.61 is: 1,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.54 : 1,302.82 = 817.61 : x
  2. Step 2: Convert to fraction form
    941.54/1,302.82 = 817.61/x
  3. Step 3: Cross multiply
    941.54x = 1,302.82 × 817.61
  4. Step 4: Simplify right side
    941.54x = 1,065,190.10
  5. Step 5: Solve for x
    x = 1,065,190.10/941.54
  6. Step 6: Final answer
    x = 1,131.33

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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.