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Finding the Fourth Proportional to 1,450.32, 2,174.56 and 801.51

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Solution

The fourth proportional to 1,450.32, 2,174.56 and 801.51 is: 1,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.32 : 2,174.56 = 801.51 : x
  2. Step 2: Convert to fraction form
    1,450.32/2,174.56 = 801.51/x
  3. Step 3: Cross multiply
    1,450.32x = 2,174.56 × 801.51
  4. Step 4: Simplify right side
    1,450.32x = 1,742,921.43
  5. Step 5: Solve for x
    x = 1,742,921.43/1,450.32
  6. Step 6: Final answer
    x = 1,201.75

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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.