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Finding the Fourth Proportional to 659.67, 910.67 and 423.96

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Solution

The fourth proportional to 659.67, 910.67 and 423.96 is: 585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.67 : 910.67 = 423.96 : x
  2. Step 2: Convert to fraction form
    659.67/910.67 = 423.96/x
  3. Step 3: Cross multiply
    659.67x = 910.67 × 423.96
  4. Step 4: Simplify right side
    659.67x = 386,087.65
  5. Step 5: Solve for x
    x = 386,087.65/659.67
  6. Step 6: Final answer
    x = 585.28

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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.