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Finding the Fourth Proportional to 558.13, 770.37 and 361.78

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Solution

The fourth proportional to 558.13, 770.37 and 361.78 is: 499.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.13 : 770.37 = 361.78 : x
  2. Step 2: Convert to fraction form
    558.13/770.37 = 361.78/x
  3. Step 3: Cross multiply
    558.13x = 770.37 × 361.78
  4. Step 4: Simplify right side
    558.13x = 278,704.46
  5. Step 5: Solve for x
    x = 278,704.46/558.13
  6. Step 6: Final answer
    x = 499.35

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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.