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Finding the Fourth Proportional to 464.79, 693.15 and 396.75

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Solution

The fourth proportional to 464.79, 693.15 and 396.75 is: 591.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.79 : 693.15 = 396.75 : x
  2. Step 2: Convert to fraction form
    464.79/693.15 = 396.75/x
  3. Step 3: Cross multiply
    464.79x = 693.15 × 396.75
  4. Step 4: Simplify right side
    464.79x = 275,007.26
  5. Step 5: Solve for x
    x = 275,007.26/464.79
  6. Step 6: Final answer
    x = 591.68

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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.