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Finding the Fourth Proportional to 1,234.86, 1,852.29 and 369.78

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Solution

The fourth proportional to 1,234.86, 1,852.29 and 369.78 is: 554.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.86 : 1,852.29 = 369.78 : x
  2. Step 2: Convert to fraction form
    1,234.86/1,852.29 = 369.78/x
  3. Step 3: Cross multiply
    1,234.86x = 1,852.29 × 369.78
  4. Step 4: Simplify right side
    1,234.86x = 684,939.80
  5. Step 5: Solve for x
    x = 684,939.80/1,234.86
  6. Step 6: Final answer
    x = 554.67

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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.