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Finding the Fourth Proportional to 464.55, 640.79 and 353.98

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Solution

The fourth proportional to 464.55, 640.79 and 353.98 is: 488.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.55 : 640.79 = 353.98 : x
  2. Step 2: Convert to fraction form
    464.55/640.79 = 353.98/x
  3. Step 3: Cross multiply
    464.55x = 640.79 × 353.98
  4. Step 4: Simplify right side
    464.55x = 226,827.20
  5. Step 5: Solve for x
    x = 226,827.20/464.55
  6. Step 6: Final answer
    x = 488.28

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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.