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Finding the Fourth Proportional to 512.37, 707.05 and 288.31

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Solution

The fourth proportional to 512.37, 707.05 and 288.31 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.37 : 707.05 = 288.31 : x
  2. Step 2: Convert to fraction form
    512.37/707.05 = 288.31/x
  3. Step 3: Cross multiply
    512.37x = 707.05 × 288.31
  4. Step 4: Simplify right side
    512.37x = 203,844.61
  5. Step 5: Solve for x
    x = 203,844.61/512.37
  6. Step 6: Final answer
    x = 397.85

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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.