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Finding the Fourth Proportional to 982.06, 1,470.77 and 775.25

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Solution

The fourth proportional to 982.06, 1,470.77 and 775.25 is: 1,161.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.06 : 1,470.77 = 775.25 : x
  2. Step 2: Convert to fraction form
    982.06/1,470.77 = 775.25/x
  3. Step 3: Cross multiply
    982.06x = 1,470.77 × 775.25
  4. Step 4: Simplify right side
    982.06x = 1,140,211.63
  5. Step 5: Solve for x
    x = 1,140,211.63/982.06
  6. Step 6: Final answer
    x = 1,161.04

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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.