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Finding the Fourth Proportional to 984.13, 1,359.84 and 733.05

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Solution

The fourth proportional to 984.13, 1,359.84 and 733.05 is: 1,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.13 : 1,359.84 = 733.05 : x
  2. Step 2: Convert to fraction form
    984.13/1,359.84 = 733.05/x
  3. Step 3: Cross multiply
    984.13x = 1,359.84 × 733.05
  4. Step 4: Simplify right side
    984.13x = 996,830.71
  5. Step 5: Solve for x
    x = 996,830.71/984.13
  6. Step 6: Final answer
    x = 1,012.91

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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.