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Finding the Fourth Proportional to 983.13, 1,356.75 and 541.05

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Solution

The fourth proportional to 983.13, 1,356.75 and 541.05 is: 746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,356.75 = 541.05 : x
  2. Step 2: Convert to fraction form
    983.13/1,356.75 = 541.05/x
  3. Step 3: Cross multiply
    983.13x = 1,356.75 × 541.05
  4. Step 4: Simplify right side
    983.13x = 734,069.59
  5. Step 5: Solve for x
    x = 734,069.59/983.13
  6. Step 6: Final answer
    x = 746.67

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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.