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Finding the Fourth Proportional to 1,050.83, 1,575.48 and 495.57

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Solution

The fourth proportional to 1,050.83, 1,575.48 and 495.57 is: 742.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.83 : 1,575.48 = 495.57 : x
  2. Step 2: Convert to fraction form
    1,050.83/1,575.48 = 495.57/x
  3. Step 3: Cross multiply
    1,050.83x = 1,575.48 × 495.57
  4. Step 4: Simplify right side
    1,050.83x = 780,760.62
  5. Step 5: Solve for x
    x = 780,760.62/1,050.83
  6. Step 6: Final answer
    x = 742.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.