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Finding the Fourth Proportional to 1,203.08, 1,804.34 and 553.19

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Solution

The fourth proportional to 1,203.08, 1,804.34 and 553.19 is: 829.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.08 : 1,804.34 = 553.19 : x
  2. Step 2: Convert to fraction form
    1,203.08/1,804.34 = 553.19/x
  3. Step 3: Cross multiply
    1,203.08x = 1,804.34 × 553.19
  4. Step 4: Simplify right side
    1,203.08x = 998,135.21
  5. Step 5: Solve for x
    x = 998,135.21/1,203.08
  6. Step 6: Final answer
    x = 829.65

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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.