Home / 1,165.31-1,747.76-385.19

Finding the Fourth Proportional to 1,165.31, 1,747.76 and 385.19

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Solution

The fourth proportional to 1,165.31, 1,747.76 and 385.19 is: 577.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.31 : 1,747.76 = 385.19 : x
  2. Step 2: Convert to fraction form
    1,165.31/1,747.76 = 385.19/x
  3. Step 3: Cross multiply
    1,165.31x = 1,747.76 × 385.19
  4. Step 4: Simplify right side
    1,165.31x = 673,209.01
  5. Step 5: Solve for x
    x = 673,209.01/1,165.31
  6. Step 6: Final answer
    x = 577.71

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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.