Home / 1,524.56-2,290.49-977.81

Finding the Fourth Proportional to 1,524.56, 2,290.49 and 977.81

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Solution

The fourth proportional to 1,524.56, 2,290.49 and 977.81 is: 1,469.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.56 : 2,290.49 = 977.81 : x
  2. Step 2: Convert to fraction form
    1,524.56/2,290.49 = 977.81/x
  3. Step 3: Cross multiply
    1,524.56x = 2,290.49 × 977.81
  4. Step 4: Simplify right side
    1,524.56x = 2,239,664.03
  5. Step 5: Solve for x
    x = 2,239,664.03/1,524.56
  6. Step 6: Final answer
    x = 1,469.06

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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.