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Finding the Fourth Proportional to 1,031.46, 1,421.46 and 844.08

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Solution

The fourth proportional to 1,031.46, 1,421.46 and 844.08 is: 1,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.46 : 1,421.46 = 844.08 : x
  2. Step 2: Convert to fraction form
    1,031.46/1,421.46 = 844.08/x
  3. Step 3: Cross multiply
    1,031.46x = 1,421.46 × 844.08
  4. Step 4: Simplify right side
    1,031.46x = 1,199,825.96
  5. Step 5: Solve for x
    x = 1,199,825.96/1,031.46
  6. Step 6: Final answer
    x = 1,163.23

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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.