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Finding the Fourth Proportional to 477.95, 659.82 and 361.31

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Solution

The fourth proportional to 477.95, 659.82 and 361.31 is: 498.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.95 : 659.82 = 361.31 : x
  2. Step 2: Convert to fraction form
    477.95/659.82 = 361.31/x
  3. Step 3: Cross multiply
    477.95x = 659.82 × 361.31
  4. Step 4: Simplify right side
    477.95x = 238,396.27
  5. Step 5: Solve for x
    x = 238,396.27/477.95
  6. Step 6: Final answer
    x = 498.79

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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.