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Finding the Fourth Proportional to 1,116.72, 1,675.44 and 539.52

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Solution

The fourth proportional to 1,116.72, 1,675.44 and 539.52 is: 809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.72 : 1,675.44 = 539.52 : x
  2. Step 2: Convert to fraction form
    1,116.72/1,675.44 = 539.52/x
  3. Step 3: Cross multiply
    1,116.72x = 1,675.44 × 539.52
  4. Step 4: Simplify right side
    1,116.72x = 903,933.39
  5. Step 5: Solve for x
    x = 903,933.39/1,116.72
  6. Step 6: Final answer
    x = 809.45

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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.