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Finding the Fourth Proportional to 983.11, 1,356.70 and 541.03

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Solution

The fourth proportional to 983.11, 1,356.70 and 541.03 is: 746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.11 : 1,356.70 = 541.03 : x
  2. Step 2: Convert to fraction form
    983.11/1,356.70 = 541.03/x
  3. Step 3: Cross multiply
    983.11x = 1,356.70 × 541.03
  4. Step 4: Simplify right side
    983.11x = 734,014.21
  5. Step 5: Solve for x
    x = 734,014.21/983.11
  6. Step 6: Final answer
    x = 746.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.