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Finding the Fourth Proportional to 982.11, 1,354.43 and 645.71

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Solution

The fourth proportional to 982.11, 1,354.43 and 645.71 is: 890.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.11 : 1,354.43 = 645.71 : x
  2. Step 2: Convert to fraction form
    982.11/1,354.43 = 645.71/x
  3. Step 3: Cross multiply
    982.11x = 1,354.43 × 645.71
  4. Step 4: Simplify right side
    982.11x = 874,569.00
  5. Step 5: Solve for x
    x = 874,569.00/982.11
  6. Step 6: Final answer
    x = 890.50

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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.