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Finding the Fourth Proportional to 659.36, 911.52 and 512.48

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Solution

The fourth proportional to 659.36, 911.52 and 512.48 is: 708.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.36 : 911.52 = 512.48 : x
  2. Step 2: Convert to fraction form
    659.36/911.52 = 512.48/x
  3. Step 3: Cross multiply
    659.36x = 911.52 × 512.48
  4. Step 4: Simplify right side
    659.36x = 467,135.77
  5. Step 5: Solve for x
    x = 467,135.77/659.36
  6. Step 6: Final answer
    x = 708.47

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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.