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Finding the Fourth Proportional to 446.59, 620.42 and 442.58

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Solution

The fourth proportional to 446.59, 620.42 and 442.58 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.59 : 620.42 = 442.58 : x
  2. Step 2: Convert to fraction form
    446.59/620.42 = 442.58/x
  3. Step 3: Cross multiply
    446.59x = 620.42 × 442.58
  4. Step 4: Simplify right side
    446.59x = 274,588.14
  5. Step 5: Solve for x
    x = 274,588.14/446.59
  6. Step 6: Final answer
    x = 614.86

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.