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Finding the Fourth Proportional to 664.32, 991.32 and 591.60

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Solution

The fourth proportional to 664.32, 991.32 and 591.60 is: 882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.32 : 991.32 = 591.60 : x
  2. Step 2: Convert to fraction form
    664.32/991.32 = 591.60/x
  3. Step 3: Cross multiply
    664.32x = 991.32 × 591.60
  4. Step 4: Simplify right side
    664.32x = 586,464.91
  5. Step 5: Solve for x
    x = 586,464.91/664.32
  6. Step 6: Final answer
    x = 882.80

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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.