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Finding the Fourth Proportional to 552.35, 828.07 and 431.15

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Solution

The fourth proportional to 552.35, 828.07 and 431.15 is: 646.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.35 : 828.07 = 431.15 : x
  2. Step 2: Convert to fraction form
    552.35/828.07 = 431.15/x
  3. Step 3: Cross multiply
    552.35x = 828.07 × 431.15
  4. Step 4: Simplify right side
    552.35x = 357,022.38
  5. Step 5: Solve for x
    x = 357,022.38/552.35
  6. Step 6: Final answer
    x = 646.37

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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.