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Finding the Fourth Proportional to 504.43, 755.42 and 341.62

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Solution

The fourth proportional to 504.43, 755.42 and 341.62 is: 511.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.43 : 755.42 = 341.62 : x
  2. Step 2: Convert to fraction form
    504.43/755.42 = 341.62/x
  3. Step 3: Cross multiply
    504.43x = 755.42 × 341.62
  4. Step 4: Simplify right side
    504.43x = 258,062.80
  5. Step 5: Solve for x
    x = 258,062.80/504.43
  6. Step 6: Final answer
    x = 511.60

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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.