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Finding the Fourth Proportional to 623.93, 861.32 and 361.90

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Solution

The fourth proportional to 623.93, 861.32 and 361.90 is: 499.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.93 : 861.32 = 361.90 : x
  2. Step 2: Convert to fraction form
    623.93/861.32 = 361.90/x
  3. Step 3: Cross multiply
    623.93x = 861.32 × 361.90
  4. Step 4: Simplify right side
    623.93x = 311,705.59
  5. Step 5: Solve for x
    x = 311,705.59/623.93
  6. Step 6: Final answer
    x = 499.58

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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.