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Finding the Fourth Proportional to 1,202.67, 1,804.21 and 380.93

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Solution

The fourth proportional to 1,202.67, 1,804.21 and 380.93 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.67 : 1,804.21 = 380.93 : x
  2. Step 2: Convert to fraction form
    1,202.67/1,804.21 = 380.93/x
  3. Step 3: Cross multiply
    1,202.67x = 1,804.21 × 380.93
  4. Step 4: Simplify right side
    1,202.67x = 687,267.74
  5. Step 5: Solve for x
    x = 687,267.74/1,202.67
  6. Step 6: Final answer
    x = 571.45

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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.