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Finding the Fourth Proportional to 983.30, 1,474.97 and 496.08

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Solution

The fourth proportional to 983.30, 1,474.97 and 496.08 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.30 : 1,474.97 = 496.08 : x
  2. Step 2: Convert to fraction form
    983.30/1,474.97 = 496.08/x
  3. Step 3: Cross multiply
    983.30x = 1,474.97 × 496.08
  4. Step 4: Simplify right side
    983.30x = 731,700.64
  5. Step 5: Solve for x
    x = 731,700.64/983.30
  6. Step 6: Final answer
    x = 744.13

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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.