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Finding the Fourth Proportional to 646.02, 892.44 and 450.09

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Solution

The fourth proportional to 646.02, 892.44 and 450.09 is: 621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 892.44 = 450.09 : x
  2. Step 2: Convert to fraction form
    646.02/892.44 = 450.09/x
  3. Step 3: Cross multiply
    646.02x = 892.44 × 450.09
  4. Step 4: Simplify right side
    646.02x = 401,678.32
  5. Step 5: Solve for x
    x = 401,678.32/646.02
  6. Step 6: Final answer
    x = 621.77

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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.