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Finding the Fourth Proportional to 1,446.37, 1,995.97 and 783.20

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Solution

The fourth proportional to 1,446.37, 1,995.97 and 783.20 is: 1,080.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.37 : 1,995.97 = 783.20 : x
  2. Step 2: Convert to fraction form
    1,446.37/1,995.97 = 783.20/x
  3. Step 3: Cross multiply
    1,446.37x = 1,995.97 × 783.20
  4. Step 4: Simplify right side
    1,446.37x = 1,563,243.70
  5. Step 5: Solve for x
    x = 1,563,243.70/1,446.37
  6. Step 6: Final answer
    x = 1,080.80

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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.