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Finding the Fourth Proportional to 640.30, 883.54 and 360.49

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Solution

The fourth proportional to 640.30, 883.54 and 360.49 is: 497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.30 : 883.54 = 360.49 : x
  2. Step 2: Convert to fraction form
    640.30/883.54 = 360.49/x
  3. Step 3: Cross multiply
    640.30x = 883.54 × 360.49
  4. Step 4: Simplify right side
    640.30x = 318,507.33
  5. Step 5: Solve for x
    x = 318,507.33/640.30
  6. Step 6: Final answer
    x = 497.43

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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.