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Finding the Fourth Proportional to 449.04, 620.10 and 416.28

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Solution

The fourth proportional to 449.04, 620.10 and 416.28 is: 574.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.04 : 620.10 = 416.28 : x
  2. Step 2: Convert to fraction form
    449.04/620.10 = 416.28/x
  3. Step 3: Cross multiply
    449.04x = 620.10 × 416.28
  4. Step 4: Simplify right side
    449.04x = 258,135.23
  5. Step 5: Solve for x
    x = 258,135.23/449.04
  6. Step 6: Final answer
    x = 574.86

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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.