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Finding the Fourth Proportional to 464.83, 693.43 and 388.28

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Solution

The fourth proportional to 464.83, 693.43 and 388.28 is: 579.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.83 : 693.43 = 388.28 : x
  2. Step 2: Convert to fraction form
    464.83/693.43 = 388.28/x
  3. Step 3: Cross multiply
    464.83x = 693.43 × 388.28
  4. Step 4: Simplify right side
    464.83x = 269,245.00
  5. Step 5: Solve for x
    x = 269,245.00/464.83
  6. Step 6: Final answer
    x = 579.23

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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.