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Finding the Fourth Proportional to 969.49, 1,455.05 and 677.08

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Solution

The fourth proportional to 969.49, 1,455.05 and 677.08 is: 1,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.49 : 1,455.05 = 677.08 : x
  2. Step 2: Convert to fraction form
    969.49/1,455.05 = 677.08/x
  3. Step 3: Cross multiply
    969.49x = 1,455.05 × 677.08
  4. Step 4: Simplify right side
    969.49x = 985,185.25
  5. Step 5: Solve for x
    x = 985,185.25/969.49
  6. Step 6: Final answer
    x = 1,016.19

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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.