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Finding the Fourth Proportional to 1,504.82, 2,076.62 and 841.75

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Solution

The fourth proportional to 1,504.82, 2,076.62 and 841.75 is: 1,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.82 : 2,076.62 = 841.75 : x
  2. Step 2: Convert to fraction form
    1,504.82/2,076.62 = 841.75/x
  3. Step 3: Cross multiply
    1,504.82x = 2,076.62 × 841.75
  4. Step 4: Simplify right side
    1,504.82x = 1,747,985.48
  5. Step 5: Solve for x
    x = 1,747,985.48/1,504.82
  6. Step 6: Final answer
    x = 1,161.59

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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.