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Finding the Fourth Proportional to 1,588.64, 2,382.96 and 664.84

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Solution

The fourth proportional to 1,588.64, 2,382.96 and 664.84 is: 997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.64 : 2,382.96 = 664.84 : x
  2. Step 2: Convert to fraction form
    1,588.64/2,382.96 = 664.84/x
  3. Step 3: Cross multiply
    1,588.64x = 2,382.96 × 664.84
  4. Step 4: Simplify right side
    1,588.64x = 1,584,287.13
  5. Step 5: Solve for x
    x = 1,584,287.13/1,588.64
  6. Step 6: Final answer
    x = 997.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.