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Finding the Fourth Proportional to 1,142.87, 1,575.50 and 984.83

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Solution

The fourth proportional to 1,142.87, 1,575.50 and 984.83 is: 1,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.87 : 1,575.50 = 984.83 : x
  2. Step 2: Convert to fraction form
    1,142.87/1,575.50 = 984.83/x
  3. Step 3: Cross multiply
    1,142.87x = 1,575.50 × 984.83
  4. Step 4: Simplify right side
    1,142.87x = 1,551,586.86
  5. Step 5: Solve for x
    x = 1,551,586.86/1,142.87
  6. Step 6: Final answer
    x = 1,357.63

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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.