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Finding the Fourth Proportional to 1,001.96, 1,503.37 and 539.20

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Solution

The fourth proportional to 1,001.96, 1,503.37 and 539.20 is: 809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.96 : 1,503.37 = 539.20 : x
  2. Step 2: Convert to fraction form
    1,001.96/1,503.37 = 539.20/x
  3. Step 3: Cross multiply
    1,001.96x = 1,503.37 × 539.20
  4. Step 4: Simplify right side
    1,001.96x = 810,617.10
  5. Step 5: Solve for x
    x = 810,617.10/1,001.96
  6. Step 6: Final answer
    x = 809.03

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