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Finding the Fourth Proportional to 1,423.54, 1,964.50 and 794.13

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Solution

The fourth proportional to 1,423.54, 1,964.50 and 794.13 is: 1,095.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.54 : 1,964.50 = 794.13 : x
  2. Step 2: Convert to fraction form
    1,423.54/1,964.50 = 794.13/x
  3. Step 3: Cross multiply
    1,423.54x = 1,964.50 × 794.13
  4. Step 4: Simplify right side
    1,423.54x = 1,560,058.56
  5. Step 5: Solve for x
    x = 1,560,058.56/1,423.54
  6. Step 6: Final answer
    x = 1,095.90

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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.