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Finding the Fourth Proportional to 1,032.72, 1,546.48 and 685.01

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Solution

The fourth proportional to 1,032.72, 1,546.48 and 685.01 is: 1,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.72 : 1,546.48 = 685.01 : x
  2. Step 2: Convert to fraction form
    1,032.72/1,546.48 = 685.01/x
  3. Step 3: Cross multiply
    1,032.72x = 1,546.48 × 685.01
  4. Step 4: Simplify right side
    1,032.72x = 1,059,352.21
  5. Step 5: Solve for x
    x = 1,059,352.21/1,032.72
  6. Step 6: Final answer
    x = 1,025.78

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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.