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Finding the Fourth Proportional to 664.60, 991.28 and 619.24

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Solution

The fourth proportional to 664.60, 991.28 and 619.24 is: 923.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.60 : 991.28 = 619.24 : x
  2. Step 2: Convert to fraction form
    664.60/991.28 = 619.24/x
  3. Step 3: Cross multiply
    664.60x = 991.28 × 619.24
  4. Step 4: Simplify right side
    664.60x = 613,840.23
  5. Step 5: Solve for x
    x = 613,840.23/664.60
  6. Step 6: Final answer
    x = 923.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.