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Finding the Fourth Proportional to 1,305.63, 1,801.68 and 774.49

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Solution

The fourth proportional to 1,305.63, 1,801.68 and 774.49 is: 1,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.63 : 1,801.68 = 774.49 : x
  2. Step 2: Convert to fraction form
    1,305.63/1,801.68 = 774.49/x
  3. Step 3: Cross multiply
    1,305.63x = 1,801.68 × 774.49
  4. Step 4: Simplify right side
    1,305.63x = 1,395,383.14
  5. Step 5: Solve for x
    x = 1,395,383.14/1,305.63
  6. Step 6: Final answer
    x = 1,068.74

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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.