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Finding the Fourth Proportional to 549.12, 824.64 and 404.32

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Solution

The fourth proportional to 549.12, 824.64 and 404.32 is: 607.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.12 : 824.64 = 404.32 : x
  2. Step 2: Convert to fraction form
    549.12/824.64 = 404.32/x
  3. Step 3: Cross multiply
    549.12x = 824.64 × 404.32
  4. Step 4: Simplify right side
    549.12x = 333,418.44
  5. Step 5: Solve for x
    x = 333,418.44/549.12
  6. Step 6: Final answer
    x = 607.19

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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.