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Finding the Fourth Proportional to 984.08, 1,474.72 and 708.88

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Solution

The fourth proportional to 984.08, 1,474.72 and 708.88 is: 1,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.08 : 1,474.72 = 708.88 : x
  2. Step 2: Convert to fraction form
    984.08/1,474.72 = 708.88/x
  3. Step 3: Cross multiply
    984.08x = 1,474.72 × 708.88
  4. Step 4: Simplify right side
    984.08x = 1,045,399.51
  5. Step 5: Solve for x
    x = 1,045,399.51/984.08
  6. Step 6: Final answer
    x = 1,062.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.