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Finding the Fourth Proportional to 1,050.82, 1,450.15 and 578.77

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Solution

The fourth proportional to 1,050.82, 1,450.15 and 578.77 is: 798.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.82 : 1,450.15 = 578.77 : x
  2. Step 2: Convert to fraction form
    1,050.82/1,450.15 = 578.77/x
  3. Step 3: Cross multiply
    1,050.82x = 1,450.15 × 578.77
  4. Step 4: Simplify right side
    1,050.82x = 839,300.42
  5. Step 5: Solve for x
    x = 839,300.42/1,050.82
  6. Step 6: Final answer
    x = 798.71

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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.