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Finding the Fourth Proportional to 1,149.02, 1,723.99 and 628.39

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Solution

The fourth proportional to 1,149.02, 1,723.99 and 628.39 is: 942.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.02 : 1,723.99 = 628.39 : x
  2. Step 2: Convert to fraction form
    1,149.02/1,723.99 = 628.39/x
  3. Step 3: Cross multiply
    1,149.02x = 1,723.99 × 628.39
  4. Step 4: Simplify right side
    1,149.02x = 1,083,329.46
  5. Step 5: Solve for x
    x = 1,083,329.46/1,149.02
  6. Step 6: Final answer
    x = 942.83

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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.