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Finding the Fourth Proportional to 482.64, 664.92 and 394.80

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Solution

The fourth proportional to 482.64, 664.92 and 394.80 is: 543.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.64 : 664.92 = 394.80 : x
  2. Step 2: Convert to fraction form
    482.64/664.92 = 394.80/x
  3. Step 3: Cross multiply
    482.64x = 664.92 × 394.80
  4. Step 4: Simplify right side
    482.64x = 262,510.42
  5. Step 5: Solve for x
    x = 262,510.42/482.64
  6. Step 6: Final answer
    x = 543.91

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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.