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Finding the Fourth Proportional to 664.29, 920.59 and 651.33

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Solution

The fourth proportional to 664.29, 920.59 and 651.33 is: 902.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.29 : 920.59 = 651.33 : x
  2. Step 2: Convert to fraction form
    664.29/920.59 = 651.33/x
  3. Step 3: Cross multiply
    664.29x = 920.59 × 651.33
  4. Step 4: Simplify right side
    664.29x = 599,606.26
  5. Step 5: Solve for x
    x = 599,606.26/664.29
  6. Step 6: Final answer
    x = 902.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.