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Finding the Fourth Proportional to 467.39, 704.25 and 388.01

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Solution

The fourth proportional to 467.39, 704.25 and 388.01 is: 584.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.39 : 704.25 = 388.01 : x
  2. Step 2: Convert to fraction form
    467.39/704.25 = 388.01/x
  3. Step 3: Cross multiply
    467.39x = 704.25 × 388.01
  4. Step 4: Simplify right side
    467.39x = 273,256.04
  5. Step 5: Solve for x
    x = 273,256.04/467.39
  6. Step 6: Final answer
    x = 584.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.