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Finding the Fourth Proportional to 464.63, 637.83 and 399.02

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Solution

The fourth proportional to 464.63, 637.83 and 399.02 is: 547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.63 : 637.83 = 399.02 : x
  2. Step 2: Convert to fraction form
    464.63/637.83 = 399.02/x
  3. Step 3: Cross multiply
    464.63x = 637.83 × 399.02
  4. Step 4: Simplify right side
    464.63x = 254,506.93
  5. Step 5: Solve for x
    x = 254,506.93/464.63
  6. Step 6: Final answer
    x = 547.76

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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.