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Finding the Fourth Proportional to 623.44, 860.55 and 361.40

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Solution

The fourth proportional to 623.44, 860.55 and 361.40 is: 498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.44 : 860.55 = 361.40 : x
  2. Step 2: Convert to fraction form
    623.44/860.55 = 361.40/x
  3. Step 3: Cross multiply
    623.44x = 860.55 × 361.40
  4. Step 4: Simplify right side
    623.44x = 311,003.57
  5. Step 5: Solve for x
    x = 311,003.57/623.44
  6. Step 6: Final answer
    x = 498.85

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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.