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Finding the Fourth Proportional to 512.04, 704.78 and 428.22

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Solution

The fourth proportional to 512.04, 704.78 and 428.22 is: 589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.04 : 704.78 = 428.22 : x
  2. Step 2: Convert to fraction form
    512.04/704.78 = 428.22/x
  3. Step 3: Cross multiply
    512.04x = 704.78 × 428.22
  4. Step 4: Simplify right side
    512.04x = 301,800.89
  5. Step 5: Solve for x
    x = 301,800.89/512.04
  6. Step 6: Final answer
    x = 589.41

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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.