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Finding the Fourth Proportional to 465.33, 694.19 and 388.79

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Solution

The fourth proportional to 465.33, 694.19 and 388.79 is: 579.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.33 : 694.19 = 388.79 : x
  2. Step 2: Convert to fraction form
    465.33/694.19 = 388.79/x
  3. Step 3: Cross multiply
    465.33x = 694.19 × 388.79
  4. Step 4: Simplify right side
    465.33x = 269,888.72
  5. Step 5: Solve for x
    x = 269,888.72/465.33
  6. Step 6: Final answer
    x = 579.99

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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.