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Finding the Fourth Proportional to 549.78, 758.73 and 353.35

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Solution

The fourth proportional to 549.78, 758.73 and 353.35 is: 487.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.78 : 758.73 = 353.35 : x
  2. Step 2: Convert to fraction form
    549.78/758.73 = 353.35/x
  3. Step 3: Cross multiply
    549.78x = 758.73 × 353.35
  4. Step 4: Simplify right side
    549.78x = 268,097.25
  5. Step 5: Solve for x
    x = 268,097.25/549.78
  6. Step 6: Final answer
    x = 487.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.