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Finding the Fourth Proportional to 554.30, 764.96 and 305.65

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Solution

The fourth proportional to 554.30, 764.96 and 305.65 is: 421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.30 : 764.96 = 305.65 : x
  2. Step 2: Convert to fraction form
    554.30/764.96 = 305.65/x
  3. Step 3: Cross multiply
    554.30x = 764.96 × 305.65
  4. Step 4: Simplify right side
    554.30x = 233,806.87
  5. Step 5: Solve for x
    x = 233,806.87/554.30
  6. Step 6: Final answer
    x = 421.81

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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.