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Finding the Fourth Proportional to 450.41, 620.39 and 420.17

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Solution

The fourth proportional to 450.41, 620.39 and 420.17 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.41 : 620.39 = 420.17 : x
  2. Step 2: Convert to fraction form
    450.41/620.39 = 420.17/x
  3. Step 3: Cross multiply
    450.41x = 620.39 × 420.17
  4. Step 4: Simplify right side
    450.41x = 260,667.21
  5. Step 5: Solve for x
    x = 260,667.21/450.41
  6. Step 6: Final answer
    x = 578.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.