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Finding the Fourth Proportional to 744.48, 1,116.48 and 451.68

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Solution

The fourth proportional to 744.48, 1,116.48 and 451.68 is: 677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.48 : 1,116.48 = 451.68 : x
  2. Step 2: Convert to fraction form
    744.48/1,116.48 = 451.68/x
  3. Step 3: Cross multiply
    744.48x = 1,116.48 × 451.68
  4. Step 4: Simplify right side
    744.48x = 504,291.69
  5. Step 5: Solve for x
    x = 504,291.69/744.48
  6. Step 6: Final answer
    x = 677.37

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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.