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Finding the Fourth Proportional to 1,031.97, 1,548.49 and 685.55

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Solution

The fourth proportional to 1,031.97, 1,548.49 and 685.55 is: 1,028.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.97 : 1,548.49 = 685.55 : x
  2. Step 2: Convert to fraction form
    1,031.97/1,548.49 = 685.55/x
  3. Step 3: Cross multiply
    1,031.97x = 1,548.49 × 685.55
  4. Step 4: Simplify right side
    1,031.97x = 1,061,559.58
  5. Step 5: Solve for x
    x = 1,061,559.58/1,031.97
  6. Step 6: Final answer
    x = 1,028.67

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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.