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Finding the Fourth Proportional to 640.47, 883.42 and 419.03

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Solution

The fourth proportional to 640.47, 883.42 and 419.03 is: 577.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.47 : 883.42 = 419.03 : x
  2. Step 2: Convert to fraction form
    640.47/883.42 = 419.03/x
  3. Step 3: Cross multiply
    640.47x = 883.42 × 419.03
  4. Step 4: Simplify right side
    640.47x = 370,179.48
  5. Step 5: Solve for x
    x = 370,179.48/640.47
  6. Step 6: Final answer
    x = 577.98

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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.