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Finding the Fourth Proportional to 1,323.52, 1,983.96 and 665.88

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Solution

The fourth proportional to 1,323.52, 1,983.96 and 665.88 is: 998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.52 : 1,983.96 = 665.88 : x
  2. Step 2: Convert to fraction form
    1,323.52/1,983.96 = 665.88/x
  3. Step 3: Cross multiply
    1,323.52x = 1,983.96 × 665.88
  4. Step 4: Simplify right side
    1,323.52x = 1,321,079.28
  5. Step 5: Solve for x
    x = 1,321,079.28/1,323.52
  6. Step 6: Final answer
    x = 998.16

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1.5x scale

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.