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Finding the Fourth Proportional to 557.82, 770.31 and 361.53

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Solution

The fourth proportional to 557.82, 770.31 and 361.53 is: 499.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.82 : 770.31 = 361.53 : x
  2. Step 2: Convert to fraction form
    557.82/770.31 = 361.53/x
  3. Step 3: Cross multiply
    557.82x = 770.31 × 361.53
  4. Step 4: Simplify right side
    557.82x = 278,490.17
  5. Step 5: Solve for x
    x = 278,490.17/557.82
  6. Step 6: Final answer
    x = 499.25

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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.