Home / 1,321.40-1,982.10-499.46

Finding the Fourth Proportional to 1,321.40, 1,982.10 and 499.46

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Solution

The fourth proportional to 1,321.40, 1,982.10 and 499.46 is: 749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.40 : 1,982.10 = 499.46 : x
  2. Step 2: Convert to fraction form
    1,321.40/1,982.10 = 499.46/x
  3. Step 3: Cross multiply
    1,321.40x = 1,982.10 × 499.46
  4. Step 4: Simplify right side
    1,321.40x = 989,969.76
  5. Step 5: Solve for x
    x = 989,969.76/1,321.40
  6. Step 6: Final answer
    x = 749.19

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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.