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Finding the Fourth Proportional to 1,803.40, 2,704.79 and 504.57

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Solution

The fourth proportional to 1,803.40, 2,704.79 and 504.57 is: 756.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.40 : 2,704.79 = 504.57 : x
  2. Step 2: Convert to fraction form
    1,803.40/2,704.79 = 504.57/x
  3. Step 3: Cross multiply
    1,803.40x = 2,704.79 × 504.57
  4. Step 4: Simplify right side
    1,803.40x = 1,364,741.10
  5. Step 5: Solve for x
    x = 1,364,741.10/1,803.40
  6. Step 6: Final answer
    x = 756.76

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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.