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Finding the Fourth Proportional to 549.63, 822.35 and 480.65

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Solution

The fourth proportional to 549.63, 822.35 and 480.65 is: 719.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.63 : 822.35 = 480.65 : x
  2. Step 2: Convert to fraction form
    549.63/822.35 = 480.65/x
  3. Step 3: Cross multiply
    549.63x = 822.35 × 480.65
  4. Step 4: Simplify right side
    549.63x = 395,259.62
  5. Step 5: Solve for x
    x = 395,259.62/549.63
  6. Step 6: Final answer
    x = 719.14

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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.