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Finding the Fourth Proportional to 689.16, 952.29 and 492.33

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Solution

The fourth proportional to 689.16, 952.29 and 492.33 is: 680.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.16 : 952.29 = 492.33 : x
  2. Step 2: Convert to fraction form
    689.16/952.29 = 492.33/x
  3. Step 3: Cross multiply
    689.16x = 952.29 × 492.33
  4. Step 4: Simplify right side
    689.16x = 468,840.94
  5. Step 5: Solve for x
    x = 468,840.94/689.16
  6. Step 6: Final answer
    x = 680.31

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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.