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Finding the Fourth Proportional to 623.72, 860.78 and 361.68

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Solution

The fourth proportional to 623.72, 860.78 and 361.68 is: 499.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.72 : 860.78 = 361.68 : x
  2. Step 2: Convert to fraction form
    623.72/860.78 = 361.68/x
  3. Step 3: Cross multiply
    623.72x = 860.78 × 361.68
  4. Step 4: Simplify right side
    623.72x = 311,326.91
  5. Step 5: Solve for x
    x = 311,326.91/623.72
  6. Step 6: Final answer
    x = 499.15

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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.