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Finding the Fourth Proportional to 554.54, 765.22 and 305.86

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Solution

The fourth proportional to 554.54, 765.22 and 305.86 is: 422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.54 : 765.22 = 305.86 : x
  2. Step 2: Convert to fraction form
    554.54/765.22 = 305.86/x
  3. Step 3: Cross multiply
    554.54x = 765.22 × 305.86
  4. Step 4: Simplify right side
    554.54x = 234,047.15
  5. Step 5: Solve for x
    x = 234,047.15/554.54
  6. Step 6: Final answer
    x = 422.05

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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.