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Finding the Fourth Proportional to 412.92, 620.19 and 401.58

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Solution

The fourth proportional to 412.92, 620.19 and 401.58 is: 603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.92 : 620.19 = 401.58 : x
  2. Step 2: Convert to fraction form
    412.92/620.19 = 401.58/x
  3. Step 3: Cross multiply
    412.92x = 620.19 × 401.58
  4. Step 4: Simplify right side
    412.92x = 249,055.90
  5. Step 5: Solve for x
    x = 249,055.90/412.92
  6. Step 6: Final answer
    x = 603.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.