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Finding the Fourth Proportional to 1,772.93, 2,659.38 and 731.78

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Solution

The fourth proportional to 1,772.93, 2,659.38 and 731.78 is: 1,097.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.93 : 2,659.38 = 731.78 : x
  2. Step 2: Convert to fraction form
    1,772.93/2,659.38 = 731.78/x
  3. Step 3: Cross multiply
    1,772.93x = 2,659.38 × 731.78
  4. Step 4: Simplify right side
    1,772.93x = 1,946,090.49
  5. Step 5: Solve for x
    x = 1,946,090.49/1,772.93
  6. Step 6: Final answer
    x = 1,097.67

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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.