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Finding the Fourth Proportional to 554, 764.54 and 305.33

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Solution

The fourth proportional to 554, 764.54 and 305.33 is: 421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    554 : 764.54 = 305.33 : x
  2. Step 2: Convert to fraction form
    554/764.54 = 305.33/x
  3. Step 3: Cross multiply
    554x = 764.54 × 305.33
  4. Step 4: Simplify right side
    554x = 233,437.00
  5. Step 5: Solve for x
    x = 233,437.00/554
  6. Step 6: Final answer
    x = 421.37

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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.