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Finding the Fourth Proportional to 448.39, 675.90 and 409.51

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Solution

The fourth proportional to 448.39, 675.90 and 409.51 is: 617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.39 : 675.90 = 409.51 : x
  2. Step 2: Convert to fraction form
    448.39/675.90 = 409.51/x
  3. Step 3: Cross multiply
    448.39x = 675.90 × 409.51
  4. Step 4: Simplify right side
    448.39x = 276,787.81
  5. Step 5: Solve for x
    x = 276,787.81/448.39
  6. Step 6: Final answer
    x = 617.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.