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Finding the Fourth Proportional to 549.46, 823.25 and 332.58

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Solution

The fourth proportional to 549.46, 823.25 and 332.58 is: 498.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.46 : 823.25 = 332.58 : x
  2. Step 2: Convert to fraction form
    549.46/823.25 = 332.58/x
  3. Step 3: Cross multiply
    549.46x = 823.25 × 332.58
  4. Step 4: Simplify right side
    549.46x = 273,800.40
  5. Step 5: Solve for x
    x = 273,800.40/549.46
  6. Step 6: Final answer
    x = 498.31

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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.