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Finding the Fourth Proportional to 464.81, 642.33 and 376.11

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Solution

The fourth proportional to 464.81, 642.33 and 376.11 is: 519.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 642.33 = 376.11 : x
  2. Step 2: Convert to fraction form
    464.81/642.33 = 376.11/x
  3. Step 3: Cross multiply
    464.81x = 642.33 × 376.11
  4. Step 4: Simplify right side
    464.81x = 241,586.74
  5. Step 5: Solve for x
    x = 241,586.74/464.81
  6. Step 6: Final answer
    x = 519.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.