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Finding the Fourth Proportional to 1,699.57, 2,549.36 and 969.49

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Solution

The fourth proportional to 1,699.57, 2,549.36 and 969.49 is: 1,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.57 : 2,549.36 = 969.49 : x
  2. Step 2: Convert to fraction form
    1,699.57/2,549.36 = 969.49/x
  3. Step 3: Cross multiply
    1,699.57x = 2,549.36 × 969.49
  4. Step 4: Simplify right side
    1,699.57x = 2,471,579.03
  5. Step 5: Solve for x
    x = 2,471,579.03/1,699.57
  6. Step 6: Final answer
    x = 1,454.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.