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Finding the Fourth Proportional to 1,324.32, 1,985.16 and 629.77

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Solution

The fourth proportional to 1,324.32, 1,985.16 and 629.77 is: 944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.32 : 1,985.16 = 629.77 : x
  2. Step 2: Convert to fraction form
    1,324.32/1,985.16 = 629.77/x
  3. Step 3: Cross multiply
    1,324.32x = 1,985.16 × 629.77
  4. Step 4: Simplify right side
    1,324.32x = 1,250,194.21
  5. Step 5: Solve for x
    x = 1,250,194.21/1,324.32
  6. Step 6: Final answer
    x = 944.03

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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.