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Finding the Fourth Proportional to 689.23, 950.79 and 492.86

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Solution

The fourth proportional to 689.23, 950.79 and 492.86 is: 679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.23 : 950.79 = 492.86 : x
  2. Step 2: Convert to fraction form
    689.23/950.79 = 492.86/x
  3. Step 3: Cross multiply
    689.23x = 950.79 × 492.86
  4. Step 4: Simplify right side
    689.23x = 468,606.36
  5. Step 5: Solve for x
    x = 468,606.36/689.23
  6. Step 6: Final answer
    x = 679.90

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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.