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Finding the Fourth Proportional to 982.04, 1,470.83 and 707.27

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Solution

The fourth proportional to 982.04, 1,470.83 and 707.27 is: 1,059.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.04 : 1,470.83 = 707.27 : x
  2. Step 2: Convert to fraction form
    982.04/1,470.83 = 707.27/x
  3. Step 3: Cross multiply
    982.04x = 1,470.83 × 707.27
  4. Step 4: Simplify right side
    982.04x = 1,040,263.04
  5. Step 5: Solve for x
    x = 1,040,263.04/982.04
  6. Step 6: Final answer
    x = 1,059.29

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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.