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Finding the Fourth Proportional to 448.98, 620.43 and 433.59

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Solution

The fourth proportional to 448.98, 620.43 and 433.59 is: 599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.98 : 620.43 = 433.59 : x
  2. Step 2: Convert to fraction form
    448.98/620.43 = 433.59/x
  3. Step 3: Cross multiply
    448.98x = 620.43 × 433.59
  4. Step 4: Simplify right side
    448.98x = 269,008.29
  5. Step 5: Solve for x
    x = 269,008.29/448.98
  6. Step 6: Final answer
    x = 599.16

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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.