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Finding the Fourth Proportional to 685, 1,028.06 and 479.98

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Solution

The fourth proportional to 685, 1,028.06 and 479.98 is: 720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    685 : 1,028.06 = 479.98 : x
  2. Step 2: Convert to fraction form
    685/1,028.06 = 479.98/x
  3. Step 3: Cross multiply
    685x = 1,028.06 × 479.98
  4. Step 4: Simplify right side
    685x = 493,448.24
  5. Step 5: Solve for x
    x = 493,448.24/685
  6. Step 6: Final answer
    x = 720.36

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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.