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Finding the Fourth Proportional to 980.97, 1,354.91 and 856.23

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Solution

The fourth proportional to 980.97, 1,354.91 and 856.23 is: 1,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.97 : 1,354.91 = 856.23 : x
  2. Step 2: Convert to fraction form
    980.97/1,354.91 = 856.23/x
  3. Step 3: Cross multiply
    980.97x = 1,354.91 × 856.23
  4. Step 4: Simplify right side
    980.97x = 1,160,110.31
  5. Step 5: Solve for x
    x = 1,160,110.31/980.97
  6. Step 6: Final answer
    x = 1,182.62

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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.