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Finding the Fourth Proportional to 1,003.06, 1,504.33 and 386.59

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Solution

The fourth proportional to 1,003.06, 1,504.33 and 386.59 is: 579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.06 : 1,504.33 = 386.59 : x
  2. Step 2: Convert to fraction form
    1,003.06/1,504.33 = 386.59/x
  3. Step 3: Cross multiply
    1,003.06x = 1,504.33 × 386.59
  4. Step 4: Simplify right side
    1,003.06x = 581,558.93
  5. Step 5: Solve for x
    x = 581,558.93/1,003.06
  6. Step 6: Final answer
    x = 579.78

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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.