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Finding the Fourth Proportional to 1,185.46, 1,778.28 and 363.80

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Solution

The fourth proportional to 1,185.46, 1,778.28 and 363.80 is: 545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.46 : 1,778.28 = 363.80 : x
  2. Step 2: Convert to fraction form
    1,185.46/1,778.28 = 363.80/x
  3. Step 3: Cross multiply
    1,185.46x = 1,778.28 × 363.80
  4. Step 4: Simplify right side
    1,185.46x = 646,929.37
  5. Step 5: Solve for x
    x = 646,929.37/1,185.46
  6. Step 6: Final answer
    x = 545.72

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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.