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Finding the Fourth Proportional to 511.22, 704.30 and 428.88

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Solution

The fourth proportional to 511.22, 704.30 and 428.88 is: 590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.22 : 704.30 = 428.88 : x
  2. Step 2: Convert to fraction form
    511.22/704.30 = 428.88/x
  3. Step 3: Cross multiply
    511.22x = 704.30 × 428.88
  4. Step 4: Simplify right side
    511.22x = 302,060.18
  5. Step 5: Solve for x
    x = 302,060.18/511.22
  6. Step 6: Final answer
    x = 590.86

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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.