Home / 1,165.70-1,747.86-549.56

Finding the Fourth Proportional to 1,165.70, 1,747.86 and 549.56

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Solution

The fourth proportional to 1,165.70, 1,747.86 and 549.56 is: 824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.70 : 1,747.86 = 549.56 : x
  2. Step 2: Convert to fraction form
    1,165.70/1,747.86 = 549.56/x
  3. Step 3: Cross multiply
    1,165.70x = 1,747.86 × 549.56
  4. Step 4: Simplify right side
    1,165.70x = 960,553.94
  5. Step 5: Solve for x
    x = 960,553.94/1,165.70
  6. Step 6: Final answer
    x = 824.01

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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.