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Finding the Fourth Proportional to 984.73, 1,359.09 and 592.15

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Solution

The fourth proportional to 984.73, 1,359.09 and 592.15 is: 817.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.73 : 1,359.09 = 592.15 : x
  2. Step 2: Convert to fraction form
    984.73/1,359.09 = 592.15/x
  3. Step 3: Cross multiply
    984.73x = 1,359.09 × 592.15
  4. Step 4: Simplify right side
    984.73x = 804,775.39
  5. Step 5: Solve for x
    x = 804,775.39/984.73
  6. Step 6: Final answer
    x = 817.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.