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Finding the Fourth Proportional to 854.22, 1,179.69 and 708.42

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Solution

The fourth proportional to 854.22, 1,179.69 and 708.42 is: 978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.22 : 1,179.69 = 708.42 : x
  2. Step 2: Convert to fraction form
    854.22/1,179.69 = 708.42/x
  3. Step 3: Cross multiply
    854.22x = 1,179.69 × 708.42
  4. Step 4: Simplify right side
    854.22x = 835,715.99
  5. Step 5: Solve for x
    x = 835,715.99/854.22
  6. Step 6: Final answer
    x = 978.34

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1.5x scale

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.