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Finding the Fourth Proportional to 983.21, 1,356.86 and 541.13

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Solution

The fourth proportional to 983.21, 1,356.86 and 541.13 is: 746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.21 : 1,356.86 = 541.13 : x
  2. Step 2: Convert to fraction form
    983.21/1,356.86 = 541.13/x
  3. Step 3: Cross multiply
    983.21x = 1,356.86 × 541.13
  4. Step 4: Simplify right side
    983.21x = 734,237.65
  5. Step 5: Solve for x
    x = 734,237.65/983.21
  6. Step 6: Final answer
    x = 746.78

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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.