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Finding the Fourth Proportional to 1,185.78, 1,636.50 and 743.70

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Solution

The fourth proportional to 1,185.78, 1,636.50 and 743.70 is: 1,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.78 : 1,636.50 = 743.70 : x
  2. Step 2: Convert to fraction form
    1,185.78/1,636.50 = 743.70/x
  3. Step 3: Cross multiply
    1,185.78x = 1,636.50 × 743.70
  4. Step 4: Simplify right side
    1,185.78x = 1,217,065.05
  5. Step 5: Solve for x
    x = 1,217,065.05/1,185.78
  6. Step 6: Final answer
    x = 1,026.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.