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Finding the Fourth Proportional to 1,072.85, 1,480.53 and 600.75

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Solution

The fourth proportional to 1,072.85, 1,480.53 and 600.75 is: 829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.85 : 1,480.53 = 600.75 : x
  2. Step 2: Convert to fraction form
    1,072.85/1,480.53 = 600.75/x
  3. Step 3: Cross multiply
    1,072.85x = 1,480.53 × 600.75
  4. Step 4: Simplify right side
    1,072.85x = 889,430.60
  5. Step 5: Solve for x
    x = 889,430.60/1,072.85
  6. Step 6: Final answer
    x = 829.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.