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Finding the Fourth Proportional to 623.31, 860.13 and 343.58

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Solution

The fourth proportional to 623.31, 860.13 and 343.58 is: 474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.31 : 860.13 = 343.58 : x
  2. Step 2: Convert to fraction form
    623.31/860.13 = 343.58/x
  3. Step 3: Cross multiply
    623.31x = 860.13 × 343.58
  4. Step 4: Simplify right side
    623.31x = 295,523.47
  5. Step 5: Solve for x
    x = 295,523.47/623.31
  6. Step 6: Final answer
    x = 474.12

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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.