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Finding the Fourth Proportional to 1,202.63, 1,803.98 and 380.91

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Solution

The fourth proportional to 1,202.63, 1,803.98 and 380.91 is: 571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.63 : 1,803.98 = 380.91 : x
  2. Step 2: Convert to fraction form
    1,202.63/1,803.98 = 380.91/x
  3. Step 3: Cross multiply
    1,202.63x = 1,803.98 × 380.91
  4. Step 4: Simplify right side
    1,202.63x = 687,154.02
  5. Step 5: Solve for x
    x = 687,154.02/1,202.63
  6. Step 6: Final answer
    x = 571.38

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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.