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Finding the Fourth Proportional to 689.10, 952.29 and 512.32

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Solution

The fourth proportional to 689.10, 952.29 and 512.32 is: 707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.10 : 952.29 = 512.32 : x
  2. Step 2: Convert to fraction form
    689.10/952.29 = 512.32/x
  3. Step 3: Cross multiply
    689.10x = 952.29 × 512.32
  4. Step 4: Simplify right side
    689.10x = 487,877.21
  5. Step 5: Solve for x
    x = 487,877.21/689.10
  6. Step 6: Final answer
    x = 707.99

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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.