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Finding the Fourth Proportional to 983.13, 1,356.65 and 541.02

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Solution

The fourth proportional to 983.13, 1,356.65 and 541.02 is: 746.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.13 : 1,356.65 = 541.02 : x
  2. Step 2: Convert to fraction form
    983.13/1,356.65 = 541.02/x
  3. Step 3: Cross multiply
    983.13x = 1,356.65 × 541.02
  4. Step 4: Simplify right side
    983.13x = 733,972.08
  5. Step 5: Solve for x
    x = 733,972.08/983.13
  6. Step 6: Final answer
    x = 746.57

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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.