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Finding the Fourth Proportional to 1,031.81, 1,422.43 and 681.89

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Solution

The fourth proportional to 1,031.81, 1,422.43 and 681.89 is: 940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.81 : 1,422.43 = 681.89 : x
  2. Step 2: Convert to fraction form
    1,031.81/1,422.43 = 681.89/x
  3. Step 3: Cross multiply
    1,031.81x = 1,422.43 × 681.89
  4. Step 4: Simplify right side
    1,031.81x = 969,931.98
  5. Step 5: Solve for x
    x = 969,931.98/1,031.81
  6. Step 6: Final answer
    x = 940.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.