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Finding the Fourth Proportional to 656.18, 905.49 and 361.43

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Solution

The fourth proportional to 656.18, 905.49 and 361.43 is: 498.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.18 : 905.49 = 361.43 : x
  2. Step 2: Convert to fraction form
    656.18/905.49 = 361.43/x
  3. Step 3: Cross multiply
    656.18x = 905.49 × 361.43
  4. Step 4: Simplify right side
    656.18x = 327,271.25
  5. Step 5: Solve for x
    x = 327,271.25/656.18
  6. Step 6: Final answer
    x = 498.75

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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.