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Finding the Fourth Proportional to 483.69, 725.64 and 407.37

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Solution

The fourth proportional to 483.69, 725.64 and 407.37 is: 611.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.69 : 725.64 = 407.37 : x
  2. Step 2: Convert to fraction form
    483.69/725.64 = 407.37/x
  3. Step 3: Cross multiply
    483.69x = 725.64 × 407.37
  4. Step 4: Simplify right side
    483.69x = 295,603.97
  5. Step 5: Solve for x
    x = 295,603.97/483.69
  6. Step 6: Final answer
    x = 611.14

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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.