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Finding the Fourth Proportional to 1,028.06, 1,540.54 and 479.60

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Solution

The fourth proportional to 1,028.06, 1,540.54 and 479.60 is: 718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.06 : 1,540.54 = 479.60 : x
  2. Step 2: Convert to fraction form
    1,028.06/1,540.54 = 479.60/x
  3. Step 3: Cross multiply
    1,028.06x = 1,540.54 × 479.60
  4. Step 4: Simplify right side
    1,028.06x = 738,842.98
  5. Step 5: Solve for x
    x = 738,842.98/1,028.06
  6. Step 6: Final answer
    x = 718.68

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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.