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Finding the Fourth Proportional to 549.69, 828.39 and 494.91

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Solution

The fourth proportional to 549.69, 828.39 and 494.91 is: 745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.69 : 828.39 = 494.91 : x
  2. Step 2: Convert to fraction form
    549.69/828.39 = 494.91/x
  3. Step 3: Cross multiply
    549.69x = 828.39 × 494.91
  4. Step 4: Simplify right side
    549.69x = 409,980.35
  5. Step 5: Solve for x
    x = 409,980.35/549.69
  6. Step 6: Final answer
    x = 745.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.