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Finding the Fourth Proportional to 689.52, 952.44 and 512.88

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Solution

The fourth proportional to 689.52, 952.44 and 512.88 is: 708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.52 : 952.44 = 512.88 : x
  2. Step 2: Convert to fraction form
    689.52/952.44 = 512.88/x
  3. Step 3: Cross multiply
    689.52x = 952.44 × 512.88
  4. Step 4: Simplify right side
    689.52x = 488,487.43
  5. Step 5: Solve for x
    x = 488,487.43/689.52
  6. Step 6: Final answer
    x = 708.45

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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.