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Finding the Fourth Proportional to 623.60, 860.53 and 343.84

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Solution

The fourth proportional to 623.60, 860.53 and 343.84 is: 474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.60 : 860.53 = 343.84 : x
  2. Step 2: Convert to fraction form
    623.60/860.53 = 343.84/x
  3. Step 3: Cross multiply
    623.60x = 860.53 × 343.84
  4. Step 4: Simplify right side
    623.60x = 295,882.59
  5. Step 5: Solve for x
    x = 295,882.59/623.60
  6. Step 6: Final answer
    x = 474.47

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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.