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Finding the Fourth Proportional to 554.71, 830.99 and 361.75

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Solution

The fourth proportional to 554.71, 830.99 and 361.75 is: 541.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.71 : 830.99 = 361.75 : x
  2. Step 2: Convert to fraction form
    554.71/830.99 = 361.75/x
  3. Step 3: Cross multiply
    554.71x = 830.99 × 361.75
  4. Step 4: Simplify right side
    554.71x = 300,608.82
  5. Step 5: Solve for x
    x = 300,608.82/554.71
  6. Step 6: Final answer
    x = 541.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.