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Finding the Fourth Proportional to 513, 773.06 and 428.25

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Solution

The fourth proportional to 513, 773.06 and 428.25 is: 645.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    513 : 773.06 = 428.25 : x
  2. Step 2: Convert to fraction form
    513/773.06 = 428.25/x
  3. Step 3: Cross multiply
    513x = 773.06 × 428.25
  4. Step 4: Simplify right side
    513x = 331,066.11
  5. Step 5: Solve for x
    x = 331,066.11/513
  6. Step 6: Final answer
    x = 645.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.