Home / 1,208.19-1,665.49-945.75

Finding the Fourth Proportional to 1,208.19, 1,665.49 and 945.75

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Solution

The fourth proportional to 1,208.19, 1,665.49 and 945.75 is: 1,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.19 : 1,665.49 = 945.75 : x
  2. Step 2: Convert to fraction form
    1,208.19/1,665.49 = 945.75/x
  3. Step 3: Cross multiply
    1,208.19x = 1,665.49 × 945.75
  4. Step 4: Simplify right side
    1,208.19x = 1,575,137.17
  5. Step 5: Solve for x
    x = 1,575,137.17/1,208.19
  6. Step 6: Final answer
    x = 1,303.72

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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.