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Finding the Fourth Proportional to 982.03, 1,471.77 and 750.07

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Solution

The fourth proportional to 982.03, 1,471.77 and 750.07 is: 1,124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.03 : 1,471.77 = 750.07 : x
  2. Step 2: Convert to fraction form
    982.03/1,471.77 = 750.07/x
  3. Step 3: Cross multiply
    982.03x = 1,471.77 × 750.07
  4. Step 4: Simplify right side
    982.03x = 1,103,930.52
  5. Step 5: Solve for x
    x = 1,103,930.52/982.03
  6. Step 6: Final answer
    x = 1,124.13

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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.