Home / 1,320.87-1,982.27-499.15

Finding the Fourth Proportional to 1,320.87, 1,982.27 and 499.15

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Solution

The fourth proportional to 1,320.87, 1,982.27 and 499.15 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.87 : 1,982.27 = 499.15 : x
  2. Step 2: Convert to fraction form
    1,320.87/1,982.27 = 499.15/x
  3. Step 3: Cross multiply
    1,320.87x = 1,982.27 × 499.15
  4. Step 4: Simplify right side
    1,320.87x = 989,442.65
  5. Step 5: Solve for x
    x = 989,442.65/1,320.87
  6. Step 6: Final answer
    x = 749.08

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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.