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Finding the Fourth Proportional to 841.82, 1,261.40 and 754.67

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Solution

The fourth proportional to 841.82, 1,261.40 and 754.67 is: 1,130.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.82 : 1,261.40 = 754.67 : x
  2. Step 2: Convert to fraction form
    841.82/1,261.40 = 754.67/x
  3. Step 3: Cross multiply
    841.82x = 1,261.40 × 754.67
  4. Step 4: Simplify right side
    841.82x = 951,940.12
  5. Step 5: Solve for x
    x = 951,940.12/841.82
  6. Step 6: Final answer
    x = 1,130.82

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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.