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Finding the Fourth Proportional to 639.72, 883.78 and 419.20

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Solution

The fourth proportional to 639.72, 883.78 and 419.20 is: 579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.72 : 883.78 = 419.20 : x
  2. Step 2: Convert to fraction form
    639.72/883.78 = 419.20/x
  3. Step 3: Cross multiply
    639.72x = 883.78 × 419.20
  4. Step 4: Simplify right side
    639.72x = 370,477.32
  5. Step 5: Solve for x
    x = 370,477.32/639.72
  6. Step 6: Final answer
    x = 579.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.