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Finding the Fourth Proportional to 484.47, 723.20 and 448.34

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Solution

The fourth proportional to 484.47, 723.20 and 448.34 is: 669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.47 : 723.20 = 448.34 : x
  2. Step 2: Convert to fraction form
    484.47/723.20 = 448.34/x
  3. Step 3: Cross multiply
    484.47x = 723.20 × 448.34
  4. Step 4: Simplify right side
    484.47x = 324,233.63
  5. Step 5: Solve for x
    x = 324,233.63/484.47
  6. Step 6: Final answer
    x = 669.25

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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.