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Finding the Fourth Proportional to 841, 1,261.06 and 378.38

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Solution

The fourth proportional to 841, 1,261.06 and 378.38 is: 567.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    841 : 1,261.06 = 378.38 : x
  2. Step 2: Convert to fraction form
    841/1,261.06 = 378.38/x
  3. Step 3: Cross multiply
    841x = 1,261.06 × 378.38
  4. Step 4: Simplify right side
    841x = 477,159.88
  5. Step 5: Solve for x
    x = 477,159.88/841
  6. Step 6: Final answer
    x = 567.37

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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.