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Finding the Fourth Proportional to 687.04, 948.27 and 438.31

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Solution

The fourth proportional to 687.04, 948.27 and 438.31 is: 604.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.04 : 948.27 = 438.31 : x
  2. Step 2: Convert to fraction form
    687.04/948.27 = 438.31/x
  3. Step 3: Cross multiply
    687.04x = 948.27 × 438.31
  4. Step 4: Simplify right side
    687.04x = 415,636.22
  5. Step 5: Solve for x
    x = 415,636.22/687.04
  6. Step 6: Final answer
    x = 604.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.