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Finding the Fourth Proportional to 854.64, 1,281.84 and 635.54

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Solution

The fourth proportional to 854.64, 1,281.84 and 635.54 is: 953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.64 : 1,281.84 = 635.54 : x
  2. Step 2: Convert to fraction form
    854.64/1,281.84 = 635.54/x
  3. Step 3: Cross multiply
    854.64x = 1,281.84 × 635.54
  4. Step 4: Simplify right side
    854.64x = 814,654.18
  5. Step 5: Solve for x
    x = 814,654.18/854.64
  6. Step 6: Final answer
    x = 953.21

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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.