Home / 1,167.45-1,748.43-549.17

Finding the Fourth Proportional to 1,167.45, 1,748.43 and 549.17

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Solution

The fourth proportional to 1,167.45, 1,748.43 and 549.17 is: 822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.45 : 1,748.43 = 549.17 : x
  2. Step 2: Convert to fraction form
    1,167.45/1,748.43 = 549.17/x
  3. Step 3: Cross multiply
    1,167.45x = 1,748.43 × 549.17
  4. Step 4: Simplify right side
    1,167.45x = 960,176.56
  5. Step 5: Solve for x
    x = 960,176.56/1,167.45
  6. Step 6: Final answer
    x = 822.46

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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.