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Finding the Fourth Proportional to 1,045.72, 1,568.07 and 629.68

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Solution

The fourth proportional to 1,045.72, 1,568.07 and 629.68 is: 944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.72 : 1,568.07 = 629.68 : x
  2. Step 2: Convert to fraction form
    1,045.72/1,568.07 = 629.68/x
  3. Step 3: Cross multiply
    1,045.72x = 1,568.07 × 629.68
  4. Step 4: Simplify right side
    1,045.72x = 987,382.32
  5. Step 5: Solve for x
    x = 987,382.32/1,045.72
  6. Step 6: Final answer
    x = 944.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.