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Finding the Fourth Proportional to 549.69, 822.60 and 463.11

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Solution

The fourth proportional to 549.69, 822.60 and 463.11 is: 693.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.69 : 822.60 = 463.11 : x
  2. Step 2: Convert to fraction form
    549.69/822.60 = 463.11/x
  3. Step 3: Cross multiply
    549.69x = 822.60 × 463.11
  4. Step 4: Simplify right side
    549.69x = 380,954.29
  5. Step 5: Solve for x
    x = 380,954.29/549.69
  6. Step 6: Final answer
    x = 693.03

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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.