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Finding the Fourth Proportional to 845.44, 1,267.89 and 297.49

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Solution

The fourth proportional to 845.44, 1,267.89 and 297.49 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.44 : 1,267.89 = 297.49 : x
  2. Step 2: Convert to fraction form
    845.44/1,267.89 = 297.49/x
  3. Step 3: Cross multiply
    845.44x = 1,267.89 × 297.49
  4. Step 4: Simplify right side
    845.44x = 377,184.60
  5. Step 5: Solve for x
    x = 377,184.60/845.44
  6. Step 6: Final answer
    x = 446.14

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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.