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Finding the Fourth Proportional to 1,446.44, 1,996.10 and 783.30

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Solution

The fourth proportional to 1,446.44, 1,996.10 and 783.30 is: 1,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.44 : 1,996.10 = 783.30 : x
  2. Step 2: Convert to fraction form
    1,446.44/1,996.10 = 783.30/x
  3. Step 3: Cross multiply
    1,446.44x = 1,996.10 × 783.30
  4. Step 4: Simplify right side
    1,446.44x = 1,563,545.13
  5. Step 5: Solve for x
    x = 1,563,545.13/1,446.44
  6. Step 6: Final answer
    x = 1,080.96

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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.