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Finding the Fourth Proportional to 687.09, 1,028.06 and 482.06

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Solution

The fourth proportional to 687.09, 1,028.06 and 482.06 is: 721.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.09 : 1,028.06 = 482.06 : x
  2. Step 2: Convert to fraction form
    687.09/1,028.06 = 482.06/x
  3. Step 3: Cross multiply
    687.09x = 1,028.06 × 482.06
  4. Step 4: Simplify right side
    687.09x = 495,588.57
  5. Step 5: Solve for x
    x = 495,588.57/687.09
  6. Step 6: Final answer
    x = 721.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.