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Finding the Fourth Proportional to 464.55, 694.94 and 423.69

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Solution

The fourth proportional to 464.55, 694.94 and 423.69 is: 633.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 694.94 = 423.69 : x
  2. Step 2: Convert to fraction form
    464.55/694.94 = 423.69/x
  3. Step 3: Cross multiply
    464.55x = 694.94 × 423.69
  4. Step 4: Simplify right side
    464.55x = 294,437.01
  5. Step 5: Solve for x
    x = 294,437.01/464.55
  6. Step 6: Final answer
    x = 633.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.