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Finding the Fourth Proportional to 1,202.77, 1,804 and 472.86

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Solution

The fourth proportional to 1,202.77, 1,804 and 472.86 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.77 : 1,804 = 472.86 : x
  2. Step 2: Convert to fraction form
    1,202.77/1,804 = 472.86/x
  3. Step 3: Cross multiply
    1,202.77x = 1,804 × 472.86
  4. Step 4: Simplify right side
    1,202.77x = 853,039.44
  5. Step 5: Solve for x
    x = 853,039.44/1,202.77
  6. Step 6: Final answer
    x = 709.23

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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.