Home / 1,166.38-1,749.70-386.48

Finding the Fourth Proportional to 1,166.38, 1,749.70 and 386.48

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Solution

The fourth proportional to 1,166.38, 1,749.70 and 386.48 is: 579.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.38 : 1,749.70 = 386.48 : x
  2. Step 2: Convert to fraction form
    1,166.38/1,749.70 = 386.48/x
  3. Step 3: Cross multiply
    1,166.38x = 1,749.70 × 386.48
  4. Step 4: Simplify right side
    1,166.38x = 676,224.06
  5. Step 5: Solve for x
    x = 676,224.06/1,166.38
  6. Step 6: Final answer
    x = 579.77

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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.