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Finding the Fourth Proportional to 1,304.23, 1,946.23 and 1,165.75

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Solution

The fourth proportional to 1,304.23, 1,946.23 and 1,165.75 is: 1,739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.23 : 1,946.23 = 1,165.75 : x
  2. Step 2: Convert to fraction form
    1,304.23/1,946.23 = 1,165.75/x
  3. Step 3: Cross multiply
    1,304.23x = 1,946.23 × 1,165.75
  4. Step 4: Simplify right side
    1,304.23x = 2,268,820.54
  5. Step 5: Solve for x
    x = 2,268,820.54/1,304.23
  6. Step 6: Final answer
    x = 1,739.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.