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Finding the Fourth Proportional to 482.31, 662.70 and 383.90

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Solution

The fourth proportional to 482.31, 662.70 and 383.90 is: 527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.31 : 662.70 = 383.90 : x
  2. Step 2: Convert to fraction form
    482.31/662.70 = 383.90/x
  3. Step 3: Cross multiply
    482.31x = 662.70 × 383.90
  4. Step 4: Simplify right side
    482.31x = 254,410.53
  5. Step 5: Solve for x
    x = 254,410.53/482.31
  6. Step 6: Final answer
    x = 527.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.