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Finding the Fourth Proportional to 657.29, 906.96 and 391.65

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Solution

The fourth proportional to 657.29, 906.96 and 391.65 is: 540.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.29 : 906.96 = 391.65 : x
  2. Step 2: Convert to fraction form
    657.29/906.96 = 391.65/x
  3. Step 3: Cross multiply
    657.29x = 906.96 × 391.65
  4. Step 4: Simplify right side
    657.29x = 355,210.88
  5. Step 5: Solve for x
    x = 355,210.88/657.29
  6. Step 6: Final answer
    x = 540.42

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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.