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Finding the Fourth Proportional to 513.41, 709.16 and 451.44

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Solution

The fourth proportional to 513.41, 709.16 and 451.44 is: 623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.41 : 709.16 = 451.44 : x
  2. Step 2: Convert to fraction form
    513.41/709.16 = 451.44/x
  3. Step 3: Cross multiply
    513.41x = 709.16 × 451.44
  4. Step 4: Simplify right side
    513.41x = 320,140.93
  5. Step 5: Solve for x
    x = 320,140.93/513.41
  6. Step 6: Final answer
    x = 623.56

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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.