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Finding the Fourth Proportional to 448.47, 669.73 and 386.12

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Solution

The fourth proportional to 448.47, 669.73 and 386.12 is: 576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.47 : 669.73 = 386.12 : x
  2. Step 2: Convert to fraction form
    448.47/669.73 = 386.12/x
  3. Step 3: Cross multiply
    448.47x = 669.73 × 386.12
  4. Step 4: Simplify right side
    448.47x = 258,596.86
  5. Step 5: Solve for x
    x = 258,596.86/448.47
  6. Step 6: Final answer
    x = 576.62

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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.