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Finding the Fourth Proportional to 452.32, 677.26 and 353.16

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Solution

The fourth proportional to 452.32, 677.26 and 353.16 is: 528.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.32 : 677.26 = 353.16 : x
  2. Step 2: Convert to fraction form
    452.32/677.26 = 353.16/x
  3. Step 3: Cross multiply
    452.32x = 677.26 × 353.16
  4. Step 4: Simplify right side
    452.32x = 239,181.14
  5. Step 5: Solve for x
    x = 239,181.14/452.32
  6. Step 6: Final answer
    x = 528.79

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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.