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Finding the Fourth Proportional to 951.91, 1,420.49 and 842.56

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Solution

The fourth proportional to 951.91, 1,420.49 and 842.56 is: 1,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.91 : 1,420.49 = 842.56 : x
  2. Step 2: Convert to fraction form
    951.91/1,420.49 = 842.56/x
  3. Step 3: Cross multiply
    951.91x = 1,420.49 × 842.56
  4. Step 4: Simplify right side
    951.91x = 1,196,848.05
  5. Step 5: Solve for x
    x = 1,196,848.05/951.91
  6. Step 6: Final answer
    x = 1,257.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.