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Finding the Fourth Proportional to 903.97, 1,354.47 and 828.31

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Solution

The fourth proportional to 903.97, 1,354.47 and 828.31 is: 1,241.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.97 : 1,354.47 = 828.31 : x
  2. Step 2: Convert to fraction form
    903.97/1,354.47 = 828.31/x
  3. Step 3: Cross multiply
    903.97x = 1,354.47 × 828.31
  4. Step 4: Simplify right side
    903.97x = 1,121,922.22
  5. Step 5: Solve for x
    x = 1,121,922.22/903.97
  6. Step 6: Final answer
    x = 1,241.10

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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.