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Finding the Fourth Proportional to 743.99, 1,115.67 and 378.57

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Solution

The fourth proportional to 743.99, 1,115.67 and 378.57 is: 567.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.99 : 1,115.67 = 378.57 : x
  2. Step 2: Convert to fraction form
    743.99/1,115.67 = 378.57/x
  3. Step 3: Cross multiply
    743.99x = 1,115.67 × 378.57
  4. Step 4: Simplify right side
    743.99x = 422,364.80
  5. Step 5: Solve for x
    x = 422,364.80/743.99
  6. Step 6: Final answer
    x = 567.71

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Double scale
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1.5x scale

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.