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Finding the Fourth Proportional to 464.85, 637.87 and 423.08

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Solution

The fourth proportional to 464.85, 637.87 and 423.08 is: 580.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.85 : 637.87 = 423.08 : x
  2. Step 2: Convert to fraction form
    464.85/637.87 = 423.08/x
  3. Step 3: Cross multiply
    464.85x = 637.87 × 423.08
  4. Step 4: Simplify right side
    464.85x = 269,870.04
  5. Step 5: Solve for x
    x = 269,870.04/464.85
  6. Step 6: Final answer
    x = 580.55

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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.