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Finding the Fourth Proportional to 941.98, 1,411.75 and 812.79

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Solution

The fourth proportional to 941.98, 1,411.75 and 812.79 is: 1,218.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.98 : 1,411.75 = 812.79 : x
  2. Step 2: Convert to fraction form
    941.98/1,411.75 = 812.79/x
  3. Step 3: Cross multiply
    941.98x = 1,411.75 × 812.79
  4. Step 4: Simplify right side
    941.98x = 1,147,456.28
  5. Step 5: Solve for x
    x = 1,147,456.28/941.98
  6. Step 6: Final answer
    x = 1,218.13

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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.