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Finding the Fourth Proportional to 854.54, 1,282.13 and 334.58

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Solution

The fourth proportional to 854.54, 1,282.13 and 334.58 is: 502.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.54 : 1,282.13 = 334.58 : x
  2. Step 2: Convert to fraction form
    854.54/1,282.13 = 334.58/x
  3. Step 3: Cross multiply
    854.54x = 1,282.13 × 334.58
  4. Step 4: Simplify right side
    854.54x = 428,975.06
  5. Step 5: Solve for x
    x = 428,975.06/854.54
  6. Step 6: Final answer
    x = 502.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.