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Finding the Fourth Proportional to 1,321.42, 1,982.72 and 499.58

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Solution

The fourth proportional to 1,321.42, 1,982.72 and 499.58 is: 749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.42 : 1,982.72 = 499.58 : x
  2. Step 2: Convert to fraction form
    1,321.42/1,982.72 = 499.58/x
  3. Step 3: Cross multiply
    1,321.42x = 1,982.72 × 499.58
  4. Step 4: Simplify right side
    1,321.42x = 990,527.26
  5. Step 5: Solve for x
    x = 990,527.26/1,321.42
  6. Step 6: Final answer
    x = 749.59

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1.5x scale

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.