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Finding the Fourth Proportional to 983.00, 1,475.21 and 496.08

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Solution

The fourth proportional to 983.00, 1,475.21 and 496.08 is: 744.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.00 : 1,475.21 = 496.08 : x
  2. Step 2: Convert to fraction form
    983.00/1,475.21 = 496.08/x
  3. Step 3: Cross multiply
    983.00x = 1,475.21 × 496.08
  4. Step 4: Simplify right side
    983.00x = 731,819.70
  5. Step 5: Solve for x
    x = 731,819.70/983.00
  6. Step 6: Final answer
    x = 744.48

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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.