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Finding the Fourth Proportional to 1,014.50, 1,399.47 and 682.36

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Solution

The fourth proportional to 1,014.50, 1,399.47 and 682.36 is: 941.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.50 : 1,399.47 = 682.36 : x
  2. Step 2: Convert to fraction form
    1,014.50/1,399.47 = 682.36/x
  3. Step 3: Cross multiply
    1,014.50x = 1,399.47 × 682.36
  4. Step 4: Simplify right side
    1,014.50x = 954,935.35
  5. Step 5: Solve for x
    x = 954,935.35/1,014.50
  6. Step 6: Final answer
    x = 941.29

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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.