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Finding the Fourth Proportional to 854.14, 1,178.63 and 481.07

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Solution

The fourth proportional to 854.14, 1,178.63 and 481.07 is: 663.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.14 : 1,178.63 = 481.07 : x
  2. Step 2: Convert to fraction form
    854.14/1,178.63 = 481.07/x
  3. Step 3: Cross multiply
    854.14x = 1,178.63 × 481.07
  4. Step 4: Simplify right side
    854.14x = 567,003.53
  5. Step 5: Solve for x
    x = 567,003.53/854.14
  6. Step 6: Final answer
    x = 663.83

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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.