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Finding the Fourth Proportional to 1,023.72, 1,411.83 and 744.87

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Solution

The fourth proportional to 1,023.72, 1,411.83 and 744.87 is: 1,027.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.72 : 1,411.83 = 744.87 : x
  2. Step 2: Convert to fraction form
    1,023.72/1,411.83 = 744.87/x
  3. Step 3: Cross multiply
    1,023.72x = 1,411.83 × 744.87
  4. Step 4: Simplify right side
    1,023.72x = 1,051,629.81
  5. Step 5: Solve for x
    x = 1,051,629.81/1,023.72
  6. Step 6: Final answer
    x = 1,027.26

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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.