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Finding the Fourth Proportional to 640.33, 883.63 and 378.43

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Solution

The fourth proportional to 640.33, 883.63 and 378.43 is: 522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.33 : 883.63 = 378.43 : x
  2. Step 2: Convert to fraction form
    640.33/883.63 = 378.43/x
  3. Step 3: Cross multiply
    640.33x = 883.63 × 378.43
  4. Step 4: Simplify right side
    640.33x = 334,392.10
  5. Step 5: Solve for x
    x = 334,392.10/640.33
  6. Step 6: Final answer
    x = 522.22

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1.5x scale

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.