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Finding the Fourth Proportional to 640.56, 883.05 and 419.43

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Solution

The fourth proportional to 640.56, 883.05 and 419.43 is: 578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.56 : 883.05 = 419.43 : x
  2. Step 2: Convert to fraction form
    640.56/883.05 = 419.43/x
  3. Step 3: Cross multiply
    640.56x = 883.05 × 419.43
  4. Step 4: Simplify right side
    640.56x = 370,377.66
  5. Step 5: Solve for x
    x = 370,377.66/640.56
  6. Step 6: Final answer
    x = 578.21

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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.