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Finding the Fourth Proportional to 689.92, 952.32 and 428.02

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Solution

The fourth proportional to 689.92, 952.32 and 428.02 is: 590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.92 : 952.32 = 428.02 : x
  2. Step 2: Convert to fraction form
    689.92/952.32 = 428.02/x
  3. Step 3: Cross multiply
    689.92x = 952.32 × 428.02
  4. Step 4: Simplify right side
    689.92x = 407,612.01
  5. Step 5: Solve for x
    x = 407,612.01/689.92
  6. Step 6: Final answer
    x = 590.81

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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.