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Finding the Fourth Proportional to 1,050.56, 1,450.29 and 813.98

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Solution

The fourth proportional to 1,050.56, 1,450.29 and 813.98 is: 1,123.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.56 : 1,450.29 = 813.98 : x
  2. Step 2: Convert to fraction form
    1,050.56/1,450.29 = 813.98/x
  3. Step 3: Cross multiply
    1,050.56x = 1,450.29 × 813.98
  4. Step 4: Simplify right side
    1,050.56x = 1,180,507.05
  5. Step 5: Solve for x
    x = 1,180,507.05/1,050.56
  6. Step 6: Final answer
    x = 1,123.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.