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Finding the Fourth Proportional to 903, 1,242.36 and 804.54

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Solution

The fourth proportional to 903, 1,242.36 and 804.54 is: 1,106.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    903 : 1,242.36 = 804.54 : x
  2. Step 2: Convert to fraction form
    903/1,242.36 = 804.54/x
  3. Step 3: Cross multiply
    903x = 1,242.36 × 804.54
  4. Step 4: Simplify right side
    903x = 999,528.31
  5. Step 5: Solve for x
    x = 999,528.31/903
  6. Step 6: Final answer
    x = 1,106.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.