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Finding the Fourth Proportional to 1,043.20, 1,439.40 and 794.08

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Solution

The fourth proportional to 1,043.20, 1,439.40 and 794.08 is: 1,095.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043.20 : 1,439.40 = 794.08 : x
  2. Step 2: Convert to fraction form
    1,043.20/1,439.40 = 794.08/x
  3. Step 3: Cross multiply
    1,043.20x = 1,439.40 × 794.08
  4. Step 4: Simplify right side
    1,043.20x = 1,142,998.75
  5. Step 5: Solve for x
    x = 1,142,998.75/1,043.20
  6. Step 6: Final answer
    x = 1,095.67

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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.