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Finding the Fourth Proportional to 464.94, 641.07 and 354.60

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Solution

The fourth proportional to 464.94, 641.07 and 354.60 is: 488.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.94 : 641.07 = 354.60 : x
  2. Step 2: Convert to fraction form
    464.94/641.07 = 354.60/x
  3. Step 3: Cross multiply
    464.94x = 641.07 × 354.60
  4. Step 4: Simplify right side
    464.94x = 227,323.42
  5. Step 5: Solve for x
    x = 227,323.42/464.94
  6. Step 6: Final answer
    x = 488.93

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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.