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Finding the Fourth Proportional to 982.20, 1,471.68 and 693.12

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Solution

The fourth proportional to 982.20, 1,471.68 and 693.12 is: 1,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.20 : 1,471.68 = 693.12 : x
  2. Step 2: Convert to fraction form
    982.20/1,471.68 = 693.12/x
  3. Step 3: Cross multiply
    982.20x = 1,471.68 × 693.12
  4. Step 4: Simplify right side
    982.20x = 1,020,050.84
  5. Step 5: Solve for x
    x = 1,020,050.84/982.20
  6. Step 6: Final answer
    x = 1,038.54

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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.