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Finding the Fourth Proportional to 512.54, 707.30 and 288.46

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Solution

The fourth proportional to 512.54, 707.30 and 288.46 is: 398.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.54 : 707.30 = 288.46 : x
  2. Step 2: Convert to fraction form
    512.54/707.30 = 288.46/x
  3. Step 3: Cross multiply
    512.54x = 707.30 × 288.46
  4. Step 4: Simplify right side
    512.54x = 204,025.38
  5. Step 5: Solve for x
    x = 204,025.38/512.54
  6. Step 6: Final answer
    x = 398.07

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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.