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Finding the Fourth Proportional to 1,069.25, 1,475.04 and 754.56

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Solution

The fourth proportional to 1,069.25, 1,475.04 and 754.56 is: 1,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.25 : 1,475.04 = 754.56 : x
  2. Step 2: Convert to fraction form
    1,069.25/1,475.04 = 754.56/x
  3. Step 3: Cross multiply
    1,069.25x = 1,475.04 × 754.56
  4. Step 4: Simplify right side
    1,069.25x = 1,113,009.01
  5. Step 5: Solve for x
    x = 1,113,009.01/1,069.25
  6. Step 6: Final answer
    x = 1,040.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.