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Finding the Fourth Proportional to 623.80, 860.86 and 344.05

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Solution

The fourth proportional to 623.80, 860.86 and 344.05 is: 474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.80 : 860.86 = 344.05 : x
  2. Step 2: Convert to fraction form
    623.80/860.86 = 344.05/x
  3. Step 3: Cross multiply
    623.80x = 860.86 × 344.05
  4. Step 4: Simplify right side
    623.80x = 296,175.87
  5. Step 5: Solve for x
    x = 296,175.87/623.80
  6. Step 6: Final answer
    x = 474.79

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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.