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Finding the Fourth Proportional to 982.35, 1,472.22 and 750.39

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Solution

The fourth proportional to 982.35, 1,472.22 and 750.39 is: 1,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.35 : 1,472.22 = 750.39 : x
  2. Step 2: Convert to fraction form
    982.35/1,472.22 = 750.39/x
  3. Step 3: Cross multiply
    982.35x = 1,472.22 × 750.39
  4. Step 4: Simplify right side
    982.35x = 1,104,739.17
  5. Step 5: Solve for x
    x = 1,104,739.17/982.35
  6. Step 6: Final answer
    x = 1,124.59

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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.