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Finding the Fourth Proportional to 689.64, 952.07 and 427.81

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Solution

The fourth proportional to 689.64, 952.07 and 427.81 is: 590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 952.07 = 427.81 : x
  2. Step 2: Convert to fraction form
    689.64/952.07 = 427.81/x
  3. Step 3: Cross multiply
    689.64x = 952.07 × 427.81
  4. Step 4: Simplify right side
    689.64x = 407,305.07
  5. Step 5: Solve for x
    x = 407,305.07/689.64
  6. Step 6: Final answer
    x = 590.61

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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.