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Finding the Fourth Proportional to 951.03, 1,427.15 and 821.94

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Solution

The fourth proportional to 951.03, 1,427.15 and 821.94 is: 1,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.03 : 1,427.15 = 821.94 : x
  2. Step 2: Convert to fraction form
    951.03/1,427.15 = 821.94/x
  3. Step 3: Cross multiply
    951.03x = 1,427.15 × 821.94
  4. Step 4: Simplify right side
    951.03x = 1,173,031.67
  5. Step 5: Solve for x
    x = 1,173,031.67/951.03
  6. Step 6: Final answer
    x = 1,233.43

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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.