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Finding the Fourth Proportional to 841.05, 1,261.36 and 378.57

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Solution

The fourth proportional to 841.05, 1,261.36 and 378.57 is: 567.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.05 : 1,261.36 = 378.57 : x
  2. Step 2: Convert to fraction form
    841.05/1,261.36 = 378.57/x
  3. Step 3: Cross multiply
    841.05x = 1,261.36 × 378.57
  4. Step 4: Simplify right side
    841.05x = 477,513.06
  5. Step 5: Solve for x
    x = 477,513.06/841.05
  6. Step 6: Final answer
    x = 567.76

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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.