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Finding the Fourth Proportional to 1,220.35, 1,830.65 and 440.42

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Solution

The fourth proportional to 1,220.35, 1,830.65 and 440.42 is: 660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.35 : 1,830.65 = 440.42 : x
  2. Step 2: Convert to fraction form
    1,220.35/1,830.65 = 440.42/x
  3. Step 3: Cross multiply
    1,220.35x = 1,830.65 × 440.42
  4. Step 4: Simplify right side
    1,220.35x = 806,243.52
  5. Step 5: Solve for x
    x = 806,243.52/1,220.35
  6. Step 6: Final answer
    x = 660.67

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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.