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Finding the Fourth Proportional to 856.35, 1,180.38 and 669.54

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Solution

The fourth proportional to 856.35, 1,180.38 and 669.54 is: 922.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.35 : 1,180.38 = 669.54 : x
  2. Step 2: Convert to fraction form
    856.35/1,180.38 = 669.54/x
  3. Step 3: Cross multiply
    856.35x = 1,180.38 × 669.54
  4. Step 4: Simplify right side
    856.35x = 790,311.63
  5. Step 5: Solve for x
    x = 790,311.63/856.35
  6. Step 6: Final answer
    x = 922.88

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Double scale
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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.