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Finding the Fourth Proportional to 464.78, 637.20 and 443.25

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Solution

The fourth proportional to 464.78, 637.20 and 443.25 is: 607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.78 : 637.20 = 443.25 : x
  2. Step 2: Convert to fraction form
    464.78/637.20 = 443.25/x
  3. Step 3: Cross multiply
    464.78x = 637.20 × 443.25
  4. Step 4: Simplify right side
    464.78x = 282,438.90
  5. Step 5: Solve for x
    x = 282,438.90/464.78
  6. Step 6: Final answer
    x = 607.69

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.