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Finding the Fourth Proportional to 484.54, 722.38 and 448.42

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Solution

The fourth proportional to 484.54, 722.38 and 448.42 is: 668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.54 : 722.38 = 448.42 : x
  2. Step 2: Convert to fraction form
    484.54/722.38 = 448.42/x
  3. Step 3: Cross multiply
    484.54x = 722.38 × 448.42
  4. Step 4: Simplify right side
    484.54x = 323,929.64
  5. Step 5: Solve for x
    x = 323,929.64/484.54
  6. Step 6: Final answer
    x = 668.53

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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.