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Finding the Fourth Proportional to 1,202.33, 1,802.85 and 380.39

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Solution

The fourth proportional to 1,202.33, 1,802.85 and 380.39 is: 570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.33 : 1,802.85 = 380.39 : x
  2. Step 2: Convert to fraction form
    1,202.33/1,802.85 = 380.39/x
  3. Step 3: Cross multiply
    1,202.33x = 1,802.85 × 380.39
  4. Step 4: Simplify right side
    1,202.33x = 685,777.10
  5. Step 5: Solve for x
    x = 685,777.10/1,202.33
  6. Step 6: Final answer
    x = 570.38

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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.