Home / 1,563.80-2,346.85-742.07

Finding the Fourth Proportional to 1,563.80, 2,346.85 and 742.07

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Solution

The fourth proportional to 1,563.80, 2,346.85 and 742.07 is: 1,113.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.80 : 2,346.85 = 742.07 : x
  2. Step 2: Convert to fraction form
    1,563.80/2,346.85 = 742.07/x
  3. Step 3: Cross multiply
    1,563.80x = 2,346.85 × 742.07
  4. Step 4: Simplify right side
    1,563.80x = 1,741,523.27
  5. Step 5: Solve for x
    x = 1,741,523.27/1,563.80
  6. Step 6: Final answer
    x = 1,113.65

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Why These Related Problems?

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