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Finding the Fourth Proportional to 485.54, 669.28 and 397.38

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Solution

The fourth proportional to 485.54, 669.28 and 397.38 is: 547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.54 : 669.28 = 397.38 : x
  2. Step 2: Convert to fraction form
    485.54/669.28 = 397.38/x
  3. Step 3: Cross multiply
    485.54x = 669.28 × 397.38
  4. Step 4: Simplify right side
    485.54x = 265,958.49
  5. Step 5: Solve for x
    x = 265,958.49/485.54
  6. Step 6: Final answer
    x = 547.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.