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Finding the Fourth Proportional to 512.69, 707.21 and 325.85

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Solution

The fourth proportional to 512.69, 707.21 and 325.85 is: 449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.69 : 707.21 = 325.85 : x
  2. Step 2: Convert to fraction form
    512.69/707.21 = 325.85/x
  3. Step 3: Cross multiply
    512.69x = 707.21 × 325.85
  4. Step 4: Simplify right side
    512.69x = 230,439.21
  5. Step 5: Solve for x
    x = 230,439.21/512.69
  6. Step 6: Final answer
    x = 449.48

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1.5x scale

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.