Home / 1,166.08-1,748.28-549.49

Finding the Fourth Proportional to 1,166.08, 1,748.28 and 549.49

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Solution

The fourth proportional to 1,166.08, 1,748.28 and 549.49 is: 823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.08 : 1,748.28 = 549.49 : x
  2. Step 2: Convert to fraction form
    1,166.08/1,748.28 = 549.49/x
  3. Step 3: Cross multiply
    1,166.08x = 1,748.28 × 549.49
  4. Step 4: Simplify right side
    1,166.08x = 960,662.38
  5. Step 5: Solve for x
    x = 960,662.38/1,166.08
  6. Step 6: Final answer
    x = 823.84

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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.