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Finding the Fourth Proportional to 1,082.53, 1,624.00 and 505.41

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Solution

The fourth proportional to 1,082.53, 1,624.00 and 505.41 is: 758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.53 : 1,624.00 = 505.41 : x
  2. Step 2: Convert to fraction form
    1,082.53/1,624.00 = 505.41/x
  3. Step 3: Cross multiply
    1,082.53x = 1,624.00 × 505.41
  4. Step 4: Simplify right side
    1,082.53x = 820,779.43
  5. Step 5: Solve for x
    x = 820,779.43/1,082.53
  6. Step 6: Final answer
    x = 758.20

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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.