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Finding the Fourth Proportional to 677.60, 933.52 and 480.72

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Solution

The fourth proportional to 677.60, 933.52 and 480.72 is: 662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 933.52 = 480.72 : x
  2. Step 2: Convert to fraction form
    677.60/933.52 = 480.72/x
  3. Step 3: Cross multiply
    677.60x = 933.52 × 480.72
  4. Step 4: Simplify right side
    677.60x = 448,761.73
  5. Step 5: Solve for x
    x = 448,761.73/677.60
  6. Step 6: Final answer
    x = 662.28

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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.