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Finding the Fourth Proportional to 513.75, 707.42 and 439.92

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Solution

The fourth proportional to 513.75, 707.42 and 439.92 is: 605.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.75 : 707.42 = 439.92 : x
  2. Step 2: Convert to fraction form
    513.75/707.42 = 439.92/x
  3. Step 3: Cross multiply
    513.75x = 707.42 × 439.92
  4. Step 4: Simplify right side
    513.75x = 311,206.01
  5. Step 5: Solve for x
    x = 311,206.01/513.75
  6. Step 6: Final answer
    x = 605.75

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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.