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Finding the Fourth Proportional to 448.79, 669.17 and 448.17

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Solution

The fourth proportional to 448.79, 669.17 and 448.17 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.79 : 669.17 = 448.17 : x
  2. Step 2: Convert to fraction form
    448.79/669.17 = 448.17/x
  3. Step 3: Cross multiply
    448.79x = 669.17 × 448.17
  4. Step 4: Simplify right side
    448.79x = 299,899.68
  5. Step 5: Solve for x
    x = 299,899.68/448.79
  6. Step 6: Final answer
    x = 668.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.