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Finding the Fourth Proportional to 448.14, 675.53 and 409.26

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Solution

The fourth proportional to 448.14, 675.53 and 409.26 is: 616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.14 : 675.53 = 409.26 : x
  2. Step 2: Convert to fraction form
    448.14/675.53 = 409.26/x
  3. Step 3: Cross multiply
    448.14x = 675.53 × 409.26
  4. Step 4: Simplify right side
    448.14x = 276,465.36
  5. Step 5: Solve for x
    x = 276,465.36/448.14
  6. Step 6: Final answer
    x = 616.92

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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.