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Finding the Fourth Proportional to 1,321.56, 1,981.32 and 488.40

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Solution

The fourth proportional to 1,321.56, 1,981.32 and 488.40 is: 732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.56 : 1,981.32 = 488.40 : x
  2. Step 2: Convert to fraction form
    1,321.56/1,981.32 = 488.40/x
  3. Step 3: Cross multiply
    1,321.56x = 1,981.32 × 488.40
  4. Step 4: Simplify right side
    1,321.56x = 967,676.69
  5. Step 5: Solve for x
    x = 967,676.69/1,321.56
  6. Step 6: Final answer
    x = 732.22

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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.