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Finding the Fourth Proportional to 983.31, 1,473.74 and 496.50

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Solution

The fourth proportional to 983.31, 1,473.74 and 496.50 is: 744.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.31 : 1,473.74 = 496.50 : x
  2. Step 2: Convert to fraction form
    983.31/1,473.74 = 496.50/x
  3. Step 3: Cross multiply
    983.31x = 1,473.74 × 496.50
  4. Step 4: Simplify right side
    983.31x = 731,711.91
  5. Step 5: Solve for x
    x = 731,711.91/983.31
  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.