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Finding the Fourth Proportional to 1,529.64, 2,294.46 and 664.20

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Solution

The fourth proportional to 1,529.64, 2,294.46 and 664.20 is: 996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,529.64 : 2,294.46 = 664.20 : x
  2. Step 2: Convert to fraction form
    1,529.64/2,294.46 = 664.20/x
  3. Step 3: Cross multiply
    1,529.64x = 2,294.46 × 664.20
  4. Step 4: Simplify right side
    1,529.64x = 1,523,980.33
  5. Step 5: Solve for x
    x = 1,523,980.33/1,529.64
  6. Step 6: Final answer
    x = 996.30

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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.