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Finding the Fourth Proportional to 549.06, 824.40 and 332.79

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Solution

The fourth proportional to 549.06, 824.40 and 332.79 is: 499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.06 : 824.40 = 332.79 : x
  2. Step 2: Convert to fraction form
    549.06/824.40 = 332.79/x
  3. Step 3: Cross multiply
    549.06x = 824.40 × 332.79
  4. Step 4: Simplify right side
    549.06x = 274,352.08
  5. Step 5: Solve for x
    x = 274,352.08/549.06
  6. Step 6: Final answer
    x = 499.68

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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.