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Finding the Fourth Proportional to 1,321.64, 1,982.68 and 500

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Solution

The fourth proportional to 1,321.64, 1,982.68 and 500 is: 750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.64 : 1,982.68 = 500 : x
  2. Step 2: Convert to fraction form
    1,321.64/1,982.68 = 500/x
  3. Step 3: Cross multiply
    1,321.64x = 1,982.68 × 500
  4. Step 4: Simplify right side
    1,321.64x = 991,340
  5. Step 5: Solve for x
    x = 991,340/1,321.64
  6. Step 6: Final answer
    x = 750.08

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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.