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Finding the Fourth Proportional to 983.15, 1,356.69 and 540.96

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Solution

The fourth proportional to 983.15, 1,356.69 and 540.96 is: 746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.15 : 1,356.69 = 540.96 : x
  2. Step 2: Convert to fraction form
    983.15/1,356.69 = 540.96/x
  3. Step 3: Cross multiply
    983.15x = 1,356.69 × 540.96
  4. Step 4: Simplify right side
    983.15x = 733,923.41
  5. Step 5: Solve for x
    x = 733,923.41/983.15
  6. Step 6: Final answer
    x = 746.50

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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.