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Finding the Fourth Proportional to 512.49, 707.16 and 288.43

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Solution

The fourth proportional to 512.49, 707.16 and 288.43 is: 397.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 707.16 = 288.43 : x
  2. Step 2: Convert to fraction form
    512.49/707.16 = 288.43/x
  3. Step 3: Cross multiply
    512.49x = 707.16 × 288.43
  4. Step 4: Simplify right side
    512.49x = 203,965.47
  5. Step 5: Solve for x
    x = 203,965.47/512.49
  6. Step 6: Final answer
    x = 397.99

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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.