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Finding the Fourth Proportional to 557.93, 770.02 and 361.78

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Solution

The fourth proportional to 557.93, 770.02 and 361.78 is: 499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.93 : 770.02 = 361.78 : x
  2. Step 2: Convert to fraction form
    557.93/770.02 = 361.78/x
  3. Step 3: Cross multiply
    557.93x = 770.02 × 361.78
  4. Step 4: Simplify right side
    557.93x = 278,577.84
  5. Step 5: Solve for x
    x = 278,577.84/557.93
  6. Step 6: Final answer
    x = 499.31

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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.