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Finding the Fourth Proportional to 1,031.21, 1,422.84 and 611.35

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Solution

The fourth proportional to 1,031.21, 1,422.84 and 611.35 is: 843.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.21 : 1,422.84 = 611.35 : x
  2. Step 2: Convert to fraction form
    1,031.21/1,422.84 = 611.35/x
  3. Step 3: Cross multiply
    1,031.21x = 1,422.84 × 611.35
  4. Step 4: Simplify right side
    1,031.21x = 869,853.23
  5. Step 5: Solve for x
    x = 869,853.23/1,031.21
  6. Step 6: Final answer
    x = 843.53

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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.