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Finding the Fourth Proportional to 448.14, 618.93 and 442.07

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Solution

The fourth proportional to 448.14, 618.93 and 442.07 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 618.93 = 442.07 : x
  2. Step 2: Convert to fraction form
    448.14/618.93 = 442.07/x
  3. Step 3: Cross multiply
    448.14x = 618.93 × 442.07
  4. Step 4: Simplify right side
    448.14x = 273,607.29
  5. Step 5: Solve for x
    x = 273,607.29/448.14
  6. Step 6: Final answer
    x = 610.54

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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.