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Finding the Fourth Proportional to 454.44, 677.30 and 429.60

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Solution

The fourth proportional to 454.44, 677.30 and 429.60 is: 640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.44 : 677.30 = 429.60 : x
  2. Step 2: Convert to fraction form
    454.44/677.30 = 429.60/x
  3. Step 3: Cross multiply
    454.44x = 677.30 × 429.60
  4. Step 4: Simplify right side
    454.44x = 290,968.08
  5. Step 5: Solve for x
    x = 290,968.08/454.44
  6. Step 6: Final answer
    x = 640.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.