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Finding the Fourth Proportional to 722.54, 1,084.16 and 448.56

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Solution

The fourth proportional to 722.54, 1,084.16 and 448.56 is: 673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.54 : 1,084.16 = 448.56 : x
  2. Step 2: Convert to fraction form
    722.54/1,084.16 = 448.56/x
  3. Step 3: Cross multiply
    722.54x = 1,084.16 × 448.56
  4. Step 4: Simplify right side
    722.54x = 486,310.81
  5. Step 5: Solve for x
    x = 486,310.81/722.54
  6. Step 6: Final answer
    x = 673.06

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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.