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Finding the Fourth Proportional to 623.76, 860.88 and 361.92

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Solution

The fourth proportional to 623.76, 860.88 and 361.92 is: 499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.76 : 860.88 = 361.92 : x
  2. Step 2: Convert to fraction form
    623.76/860.88 = 361.92/x
  3. Step 3: Cross multiply
    623.76x = 860.88 × 361.92
  4. Step 4: Simplify right side
    623.76x = 311,569.69
  5. Step 5: Solve for x
    x = 311,569.69/623.76
  6. Step 6: Final answer
    x = 499.50

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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.