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Finding the Fourth Proportional to 504.62, 759.66 and 361.34

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Solution

The fourth proportional to 504.62, 759.66 and 361.34 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.62 : 759.66 = 361.34 : x
  2. Step 2: Convert to fraction form
    504.62/759.66 = 361.34/x
  3. Step 3: Cross multiply
    504.62x = 759.66 × 361.34
  4. Step 4: Simplify right side
    504.62x = 274,495.54
  5. Step 5: Solve for x
    x = 274,495.54/504.62
  6. Step 6: Final answer
    x = 543.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.