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Finding the Fourth Proportional to 982.36, 1,354.08 and 817.12

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Solution

The fourth proportional to 982.36, 1,354.08 and 817.12 is: 1,126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.36 : 1,354.08 = 817.12 : x
  2. Step 2: Convert to fraction form
    982.36/1,354.08 = 817.12/x
  3. Step 3: Cross multiply
    982.36x = 1,354.08 × 817.12
  4. Step 4: Simplify right side
    982.36x = 1,106,445.85
  5. Step 5: Solve for x
    x = 1,106,445.85/982.36
  6. Step 6: Final answer
    x = 1,126.31

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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.