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Finding the Fourth Proportional to 645.52, 890.83 and 361.93

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Solution

The fourth proportional to 645.52, 890.83 and 361.93 is: 499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.52 : 890.83 = 361.93 : x
  2. Step 2: Convert to fraction form
    645.52/890.83 = 361.93/x
  3. Step 3: Cross multiply
    645.52x = 890.83 × 361.93
  4. Step 4: Simplify right side
    645.52x = 322,418.10
  5. Step 5: Solve for x
    x = 322,418.10/645.52
  6. Step 6: Final answer
    x = 499.47

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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.