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Finding the Fourth Proportional to 623.22, 860.82 and 505.62

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Solution

The fourth proportional to 623.22, 860.82 and 505.62 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.22 : 860.82 = 505.62 : x
  2. Step 2: Convert to fraction form
    623.22/860.82 = 505.62/x
  3. Step 3: Cross multiply
    623.22x = 860.82 × 505.62
  4. Step 4: Simplify right side
    623.22x = 435,247.81
  5. Step 5: Solve for x
    x = 435,247.81/623.22
  6. Step 6: Final answer
    x = 698.39

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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.