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Finding the Fourth Proportional to 985.54, 1,359.36 and 799.04

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Solution

The fourth proportional to 985.54, 1,359.36 and 799.04 is: 1,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.54 : 1,359.36 = 799.04 : x
  2. Step 2: Convert to fraction form
    985.54/1,359.36 = 799.04/x
  3. Step 3: Cross multiply
    985.54x = 1,359.36 × 799.04
  4. Step 4: Simplify right side
    985.54x = 1,086,176.22
  5. Step 5: Solve for x
    x = 1,086,176.22/985.54
  6. Step 6: Final answer
    x = 1,102.12

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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.