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Finding the Fourth Proportional to 1,180.93, 1,630.37 and 739.06

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Solution

The fourth proportional to 1,180.93, 1,630.37 and 739.06 is: 1,020.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.93 : 1,630.37 = 739.06 : x
  2. Step 2: Convert to fraction form
    1,180.93/1,630.37 = 739.06/x
  3. Step 3: Cross multiply
    1,180.93x = 1,630.37 × 739.06
  4. Step 4: Simplify right side
    1,180.93x = 1,204,941.25
  5. Step 5: Solve for x
    x = 1,204,941.25/1,180.93
  6. Step 6: Final answer
    x = 1,020.33

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1.5x scale

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.