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Finding the Fourth Proportional to 854.88, 1,282.63 and 443.74

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Solution

The fourth proportional to 854.88, 1,282.63 and 443.74 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.88 : 1,282.63 = 443.74 : x
  2. Step 2: Convert to fraction form
    854.88/1,282.63 = 443.74/x
  3. Step 3: Cross multiply
    854.88x = 1,282.63 × 443.74
  4. Step 4: Simplify right side
    854.88x = 569,154.24
  5. Step 5: Solve for x
    x = 569,154.24/854.88
  6. Step 6: Final answer
    x = 665.77

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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.