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Finding the Fourth Proportional to 743.67, 1,113.97 and 450.25

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Solution

The fourth proportional to 743.67, 1,113.97 and 450.25 is: 674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.67 : 1,113.97 = 450.25 : x
  2. Step 2: Convert to fraction form
    743.67/1,113.97 = 450.25/x
  3. Step 3: Cross multiply
    743.67x = 1,113.97 × 450.25
  4. Step 4: Simplify right side
    743.67x = 501,564.99
  5. Step 5: Solve for x
    x = 501,564.99/743.67
  6. Step 6: Final answer
    x = 674.45

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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.